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Question -

From a deck of 52 cards, four cards are drawn simultaneously, find the chance that they will be the four honors of the same suit



Answer -

Given: A deck of 52 cards.

By using the formula,

P (E) = favourableoutcomes / total possible outcomes

We now have to findthe probability that all the face cards of same suits are drawn.

Total possibleoutcomes are

n (S) = 52C4

Let E be the eventthat all the cards drawn are face cards of same suit.

n (E)=4×4C4=4

P (E) = n (E) / n (S)

= 4 / 270725

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