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Question

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cards of the same suit is

A
444165
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B
224165
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C
114165
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D
None of these
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Solution

The correct option is A 444165
From the deck of 52 cards, 4 cards are to be drawn.
So total outcomes = 52C4
Now we need all four cards to be from same suit.
So we select four cards from a deck by 13C4 ways.
And there are 4 suits for which this can be repeated so favorable outcomes are 4×13C4
Thus probability, p=4×13C452C4=444165

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