When you draw 8 cards out of a deck of 52 what is the probab

When you draw 8 cards out of a deck of 52, what is the probability that you will have exactly 4 red cards?

Solution

When you draw 8 cards out of a deck of 52, what is the probability that you will have exactly 4 red cards?

You can select 8 cards from 52 cards in 52C8 different ways.

You can select 4 red cards from 26 red cards in 26C4 different ways.( There are 26 red cards in a deck)

select 4 remaining black cards from 26 cards in 26C4 different ways
Therefore required probability is
(26C4*26C4)/52C8 = 14950*14950/752538150

=0.296998