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

[Q]: 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
[A]: d

[Q]: Problem: a meeting has to be conducted with 5 managers . find the number of ways in which the managers may be selected from among 9 managers , if 3 managers will not attend the meeting together .
Options: a ) 1.24 , b ) 2.91 , c ) 3.12 , d ) 4.126 , e ) 5.15
[A]: a

[Q]: Problem: a bag contains 6 red , 2 yellow and 4 green balls . 3 balls are drawn randomly . what is the probability that the balls drawn contain balls of different colours ?
Options: a ) 12 / 55 , b ) 3 / 5 , c ) 3 / 11 , d ) 1 / 4 , e ) 7 / 16
[A]:
a