If you are dealt 4 cards from a shuffled deck of 52? cards, find the probability that all 4 cards are diamondsdiamonds.

= 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

the answer is  

a.

4,624π mm2

step-by-step explanation: