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

Explanation

From the deck of 52 cards, 4 cards are to be drawn.

So total outcomes =`.^ 52C_4​`

Now we need all four cards to be from same suit.

So we select four cards from a deck by`.^ 13C_4`​ ways.

And there are 4 suits for which this can be repeated so favorable outcomes are v=`4×.^13C_4`
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Thus probability, p=`(4×.^13C_4)/(.^52C_4​)​​`
=`(44/4165)`