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

Input: Consider Input: Problem: a string of 13 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 0.02 , what is the probability that the string of light bulbs will fail during the time period t ?
Options: a ) 0.02 , b ) ( 0.02 ) ^ 13 , c ) 1 - ( 0.02 ) ^ 13 , d ) ( 0.98 ) ^ 13 , e ) 1 - ( 0.98 ) ^ 13

Output: e

Input: Consider Input: Problem: how many different ways can 2 students be seated in a row of 6 desks , so that there is always at least one empty desk between the students ?
Options: a ) 2 , b ) 3 , c ) 4 , d ) 20 , e ) 12

Output: d

Input: Consider Input: Problem: if g is to be chosen at random from the set { 5,8 , 7,1 } and k is to be chosen at random from the set { 14 , 8,3 } , what is the probability that gk will be even ?
Options: a ) 1 , b ) 5 , c ) 8 , d ) 4 , e ) 3
Output: a