Question

You are dealt 3 cards from a shuffled deck of 52 cards find the probability that all 3 cards are diamonds

Answer 1

In a deck of 52 cards there are 13 diamonds cards.

Then, the probability of getting a diamond is:

p = 13/52 = 1/4

In the case of 3 cards, take into account that if the first card was a diamond, there is a probability of 12/52 to get another diamond card. If the second card is again a diamond there is now a probability getting a diamond of 10/52.

The total probability is the product of all these probabilities.

P = (13/52)(12/52)(10/52) = 1,560/140,608 = 0.011

Hence, the probability of getting three diamond cards is 1.1%