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

[Q]: Problem: a meeting has to be conducted with 6 managers . find the number of ways in which the managers be selected from among 10 managers , if 2 managers will not attend the meeting together ?
Options: a ) 120 , b ) 110 , c ) 105 , d ) 140 , e ) 135
[A]: d

[Q]: 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
[A]: e

[Q]: Problem: jane and thomas are among the 8 people from which a committee of 4 people is to be selected . how many different possible committees of 4 people can be selected from these 8 people if at least one of either jane or thomas is to be selected ?
Options: a ) 28 , b ) 46 , c ) 55 , d ) 63 , e ) 70
[A]:
c