instruction:
In this task, you need to provide the correct option for a given problem on probability from the provided options.
question:
Problem: what is the probability that the sum of two dice will yield a 4 , and then when both are thrown again , their sum will again yield a 4 ? assume that each die has 3 sides with faces numbered 1 to 3 .
Options: a ) 1 / 144 , b ) 1 / 36 , c ) 1 / 9 , d ) 1 / 6 , e ) 1 / 3
answer:
c

question:
Problem: on a ranch , a rancher can place a loop of rope , called a lasso , once in every 2 throws around a cow ' s neck . what is the probability that the rancher will be able to place a lasso around a cow ' s neck at least once in 3 attempts ?
Options: a ) 3 / 4 , b ) 5 / 8 , c ) 7 / 8 , d ) 9 / 16 , e ) 15 / 16
answer:
c

question:
Problem: a card is drawn from a pack of 52 cards . the probability of getting a face card ?
Options: a ) 2 / 15 , b ) 2 / 13 , c ) 1 / 15 , d ) 4 / 13 , e ) 5 / 7
answer:
d