Engineering
Mathematics
Conditional Probability
Question

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

25 

15 

 14

38 

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Solution

S : {1, 2, 3, 4, 5, 6, 7, 8}

 P(E)=4C36C3=15