You conduct an experiment by selecting a card randomly from

You conduct an experiment by selecting a card randomly from a deck of cards, and then replacing it in the deck. Suppose you do this 20 times. What is the probability of drawing exactly 12 hearts, 4 diamonds, 2 clubs, and 2 spades?

Solution

as we know in a deck of cards we have 13 of each one right?

so the probability will be

P = ( 13C12 * 13C4 * 13C2 * 13C2 ) / (52C20 )

Probability = 0.000000488