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

Input: Consider Input: Problem: in how many ways 4 boys and 5 girls can be seated in a row so that they are alternate . 
Options: a ) 144 , b ) 288 , c ) 12 , d ) 256 , e ) 2880

Output: e


Input: Consider Input: Problem: what is the probability that the sum of two dice will yield a 8 , and then when both are thrown again , their sum will again yield a 8 ? assume that each die has 7 sides with faces numbered 1 to 7 . 
Options: a ) 1 / 144 , b ) 1 / 36 , c ) 1 / 12 , d ) 1 / 6 , e ) 1 / 49

Output: e


Input: Consider Input: Problem: the probability that a number selected at random from first 50 natural numbers is a composite number is 
Options: a ) 21 / 25 , b ) 17 / 25 , c ) 4 / 25 , d ) 8 / 25 , e ) 10 / 25


Output: b


