Question

Three numbers are chosen at random without replacement from numbers {1,2,3,...,8}. The probability that their minimum is 3, given that their maximum is 6, is

(a) 3/8

(b) 1/5

(c) 1/4

(d) 2/5

Answer 1

The correct option is (b) 1/5.

Explanation:

Given 3 numbers are drawn without replacement from the set {1,2, 3 4 5, 6,7 B} 

To find The probability that their minimum is 3 given that their maximum is 6.

Let A denotes the event that the minimum of the 3 selected numbers is 3 and B denotes the event that the maximum of the 3 selected numbers is 6, then