Lots-of-LoRAs/task1424_mathqa_probability huggingface dataset:
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: when fair coin is tossed 9 times find the probability of getting head at least once . 
Options: a ) 1 / 512 , b ) 511 / 512 , c ) 9 / 512 , d ) 503 / 51 , e ) 503 / 510
Output: 


Output: b
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: if 4 people are selected from a group of 10 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 63 , c ) 1 / 3 , d ) 43 / 62 , e ) 11 / 12
Output: 


Output: d
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: the chance of rain on any given day in tel - aviv is 50 % . what is the probability a that it rained in tel - aviv on exactly 4 out of 6 randomly chosen days ? 
Options: a ) 15 / 64 , b ) 30 / 64 , c ) 1 / 2 , d ) 1 / 4 , e ) 52 / 64
Output: 


Output: a
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: a quiz has one mcq question with a , b and c as options . and two questions with true / false answers . what is the probability of giving all 3 answers correct ? 
Options: a ) 1 / 12 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 2 , e ) 1 / 6
Output: 


Output: a
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: the only items of clothing at michelle ’ s boutique are 4 shirts , 8 pairs of pants and 18 ties . what is the probability of randomly selecting 2 ties out of all the items in michelle ’ s boutique ? 
Options: a ) 51 / 145 , b ) 9 / 25 , c ) 3 / 5 , d ) 94 / 145 , e ) 5 / 6
Output: 


Output: a
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: in 15 year ’ s time the combined age of my 4 brothers will be 107 . what will it be in 6 year ’ s time ? 
Options: a ) 65 , b ) 87 , c ) 71 , d ) 60 , e ) 66
Output: 


Output: c
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: there are 15 boys and 10 girls in a class . if three students are selected at random , in how many ways that 1 girl and 2 boys are selected ? 
Options: a ) 950 , b ) 1050 , c ) 2150 , d ) 2050 , e ) 1000
Output: 


Output: b
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: in a throw of dice what is the probability of ge æ « ing number greater than 2 
Options: a ) 2 / 3 , b ) 1 / 3 , c ) 1 / 5 , d ) 1 / 6 , e ) none of these
Output: 


Output: a
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: find the probability that the number drawn is a multiple of 6 and 8 . 
Options: a ) 3 / 50 , b ) 2 / 25 , c ) 1 / 50 , d ) 1 / 25 , e ) 4 / 25
Output: 


Output: d
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: from a pack of 52 cards , two cards are drawn together at random . what is the probability of one is a spade and one is a heart ? 
Options: a ) 102 / 102 , b ) 5 / 102 , c ) 1 / 102 , d ) 8 / 102 , e ) 13 / 102
Output: 


Output: e
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: three 7 faced dice are thrown together . the probability that all the three show the same number on them is ? 
Options: a ) 1 / 38 , b ) 1 / 49 , c ) 1 / 39 , d ) 1 / 42 , e ) 1 / 29
Output: 


Output: b
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: a box contains 4 red balls and 4 black balls . one by one , every ball is selected at random without replacement . what is the probability that the fourth ball selected is black ? 
Options: a ) 1 / 4 , b ) 1 / 2 , c ) 1 / 2 , d ) 5 / 8 , e ) 2
Output: 


Output: e
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: a meeting has to be conducted with 4 managers . find the number of ways in which the managers may be selected from among 7 managers , if there are 2 managers who refuse to attend the meeting together . 
Options: a ) 18 , b ) 21 , c ) 25 , d ) 30 , e ) 35
Output: 


Output: c
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: there is a 10 % chance that tigers will not win at all during the whole season . there is a 20 % chance that federer will not play at all in the whole season . what is the greatest possible probability that the tigers will win and federer will play during the season ? 
Options: a ) 55 % , b ) 60 % , c ) 70 % , d ) 72 % , e ) 80 %
Output: 


Output: e
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: how many cubes of 3 cm edge can be cut out of a cube of 18 cm edge 
Options: a ) 36 , b ) 232 , c ) 216 , d ) 455 , e ) 363
Output: 


Output: c
Definition: In this task, you need to provide the correct option for a given problem on probability from the provided options.

Positive Example 1 -
Input: Problem: in a throw of a coin find the probability of getting a tail ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 2 / 7
Output: a

Positive Example 2 -
Input: Problem: a jar contains only red , yellow , and orange marbles . if there are 3 red , 6 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ? 
Options: a ) 1 / 60 , b ) 1 / 45 , c ) 2 / 45 , d ) 3 / 22 , e ) 5 / 22
Output: e

Negative Example 1 -
Input: Problem: if 4 people are selected from a group of 7 married couples , what is the probability that none of them would be married to each other ? 
Options: a ) 1 / 33 , b ) 2 / 33 , c ) 1 / 3 , d ) 16 / 33 , e ) 47 / 84
Output: b

Negative Example 2 -
Input: Problem: there are 20 students in a class . in how many different ways can a committee of 3 students be formed ? 
Options: a ) 650 , b ) 730 , c ) 980 , d ) 1140 , e ) 1480
Output: a

Now complete the following example -
Input: Problem: a store has 10 bottles of juice , including 5 bottles of apple juice . in the evening , 6 bottles of juice are sold one by one . what is the probability of selling 3 bottles of apple juice among the 6 bottles ? assume that every bottle has an equal chance of being bought . 
Options: a ) 4 / 9 , b ) 6 / 11 , c ) 8 / 15 , d ) 10 / 21 , e ) 12 / 25
Output: 


Output: d