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Three cards are drawn from an ordinary d...

Three cards are drawn from an ordinary deck of 52 cards. Each card is replaced in the
deck before the next card is drawn. What is the pobability that at least one of the cards will be a spade?

A

`3/12`

B

`9/64`

C

`3/8`

D

`37/64`

Text Solution

Verified by Experts

The correct Answer is:
D
Since the drawn cards are replaced , the draws are independent . The probability
was a spade = `39/52cdot39/52cdot39/52cdot=3/4cdot3/4cdot3/4=27/64`.
Probability that I was a spade=`1-27/64=37/64`.
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