In a three-card hand, what is the probability that all three cards are diamonds?

Answer 1

There are 13 cards that are diamonds in a deck of 52 cards. The probability that the first card is a diamond is 13/52. Which leaves us with 12 diamonds and 51 cards, so the probability that the second card is a diamond is 12/51. Similarly the probability that the third card is a diamond is 11/50. The probability that all three cards are diamonds is the product of those three probabilities.