instruction:
In this task, you need to provide the correct option for a given problem on probability from the provided options.
question:
Problem: set a contains 4 different positive odd integers and 6 different positive even integers . set b contains two different positive odd integers and 3 different positive even integers . if one integer from set a and one integer from set b are chosen at random , what is the probability that the product of the chosen integers is even ?
Options: a ) 3 / 5 , b ) 4 / 5 , c ) 17 / 25 , d ) 21 / 25 , e ) 43 / 50
answer:
d

question:
Problem: the membership of a committee consists of 4 english teachers , 2 mathematics teachers , and 2 social studies teachers . if 2 committee members are to be selected at random to write the committee ' s report , what is the probability that the two members selected will both be english teachers ?
Options: a ) 2 / 3 , b ) 1 / 3 , c ) 2 / 9 , d ) 1 / 12 , e ) 3 / 28
answer:
e

question:
Problem: two unbiased coins are tossed . what is probability of getting at most one tail ?
Options: a ) 12 , b ) 13 , c ) 32 , d ) 34 , e ) none of these
answer:
d