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

Ex Input:
Problem: what is the probability of getting a sum of 12 when rolling 3 dice simultaneously ? 
Options: a ) 10 / 216 , b ) 12 / 216 , c ) 21 / 216 , d ) 23 / 216 , e ) 25 / 216

Ex Output:
e


Ex Input:
Problem: in how many ways can 21 books on english and 19 books on french be placed in a row on a shelf so that two books on french may not be together ? 
Options: a ) 3990 , b ) 1540 , c ) 1995 , d ) 3672 , e ) none of these

Ex Output:
b


Ex Input:
Problem: a string of 50 light bulbs is wired in such a way that if any individual light bulb fails , the entire string fails . if for each individual light bulb the probability of failing during time period t is 0.05 , what is the probability that the string of light bulbs will fail during the time period t ? 
Options: a ) 0.05 , b ) ( 0.05 ) ^ 50 , c ) 1 - ( 0.96 ) ^ 50 , d ) 1 - ( 0.95 ) ^ 50 , e ) ( 0.95 ) ^ 50

Ex Output:

d