Answer:
= 11/4165
Step-by-step explanation:
We are dealt 4 cards, so we will assume no replacement.
The first card:
There are 52 cards and 13 of them are diamonds
P(1st card is a diamond) = 13/52 = 1/4
The second card:
We have 1 card that is a diamond
There are 51 cards and 12 of them are diamonds
P(2nd card is a diamond) = 12/51
The third card:
We have 2 cards that are diamonds
There are 50 cards and 11 of them are diamonds
P(3rd card is a diamond) = 11/50
The fourth card:
We have 3 cards that are diamonds
There are 49 cards and 10 of them are diamonds
P(4th card is a diamond) = 10/49
P(all 4 cards are diamonds) = P(1st card is a diamond) * P(2nd card is a diamond) * P(3rd card is a diamond) * P(4th card is a diamond)
= 1/4 * 12/51 * 11/50 * 10/49
= 11/4165
