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A coin is tossed. If a head is observed,...

A coin is tossed. If a head is observed, a number is randomly selected from the set `{1, 2, 3}` and if a tail is observed, a number is randomly selected from the set `{2, 3, 4, 5}`. If the selected number be denoted by X, what is the probability that X = 3 ?

A

`2//7`

B

`1//5`

C

`1//6`

D

`7//24`

Text Solution

Verified by Experts

The correct Answer is:
D
Probability that `(X = 3) = 1/2 xx 1/3 + 1/2 xx 1/4 = 7/24`
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