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Three cards with replacement are drawn f...

Three cards with replacement are drawn from a deck of 52 well shuffled cards, X denote the random variable of number of face cards drawn, then `P(X =1) + P(X = 2)` equals:

A

`1070/(13^3)`

B

`(90)/(169)`

C

`30/(169)`

D

`1270/(13^3)`

Text Solution

Verified by Experts

The correct Answer is:
B
P(Face card) `= 12/52 = 3/13`
`P(X = 1) = .^(3)C_(1) (3/13)^(1) (10/13)^2`
`P(X = 2) = .^(3)C_(2) (3/13)^2 (10/13)^(-1)`
`P(X = 1) + P(X = 2) = 90/169`.
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