Question

An experiment consists of dealing 7 cards from a standard deck of 52 playing cards. What is the probability of being dealt with exactly 4 clubs and 3 spades?

Answer 1

There are 13 Clubs in a deck of 52 cards.
There are 13 Spades in a deck of 52 cards.

So, 4 Clubs can be chosen from 13 clubs in - ways.

and 3 Spades can be chosen from 13 Spades in - ways.

No of ways that exactly 4 clubs and 3 spades are chosen from a deck is:

ways.

Total no. of ways 7 cards are dealt from 52 cards are-
ways
=133784560 ways.

The Probability that exactly 4 clubs and 3 spades are chosen from a deck is:

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