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Question

4 cards are drawn from the deck of 52 cards. Find the probability of all 4 cards drawn being Diamond if the cards are replaced.

A
1256
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B
224156
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C
254156
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D
604156
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Solution

The correct option is D 1256
Given: 52 cards, 4 cards drawn with replacement.
To find: the probability of all 4 cards drawn being Diamond
According to the question
n(S)=52
Number of the diamond card in the pack is 13
Hence the probability of all 4 cards drawn being Diamond is
=1352×1352×1352×1352=1256

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