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Question -

The face cards are removed from a full pack. Out of the remaining 40 cards, 4 are drawn at random. What is the probability that they belong to different suits?



Answer -

Given: The face cardsare removed from a full pack of 52.

By using the formula,

P (E) = favourableoutcomes / total possible outcomes

Four cards are drawnfrom the remaining 40 cards, so we have to find the probability that all ofthem belong to different suit.

Total possibleoutcomes of drawing four cards are 40C4

n (S) =  40C4 =91390

Let E be the eventthat 4 cards belong to different suit.

n (E) = 10C110C110C110C=10000

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

= 10000 / 91390

= 1000/9139

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