TASK DEFINITION: In this task, you need to provide the correct option for a given problem on probability from the provided options.
PROBLEM: Problem: in how many ways can 21 books on english and 19 books on hindi be placed in a row on a shelf so that two books on hindi may not be together ? 
Options: a ) 1540 , b ) 2314 , c ) 5420 , d ) 1240 , e ) 4512

SOLUTION: a

PROBLEM: Problem: what is the probability that the sum of two dice will yield a 5 , and then when both are thrown again , their sum will again yield a 5 ? assume that each die has 4 sides with faces numbered 1 to 4 . 
Options: a ) 1 / 144 , b ) 1 / 36 , c ) 1 / 12 , d ) 1 / 16 , e ) 1 / 3

SOLUTION: d

PROBLEM: Problem: kim has 9 pairs of shoes ; each pair is a different color . if kim randomly selects 2 shoes without replacement from the 18 shoes , what is the probability that she will select 2 shoes of the same color ? 
Options: a ) 2 / 5 , b ) 11 / 5 , c ) 1 / 9 , d ) 1 / 17 , e ) 1 / 5

SOLUTION:
d