A player is randomly dealt a sequence of 13 cards from a standard 52-card deck. All sequences of 13 cards are equally likely. In an equivalent model, the cards are chosen and dealt one at a time. When choosing a card, the dealer is equally likely to pick any of the cards that remain in the deck.

Question

1. What is the probability the 13th card dealt is a King? Note: Your answer should be a number. Do not enter '!' or combinations in your answer.

2. Find the probability of the event that the 13th card dealt is the first King dealt. Identify the correct expression.

Answer 1

The probability that a given rank of card is chosen from the remainder of the deck (matching suit not specified) 4/(52-nth card)) multiplied by each previous card in the set.
1.6971 x 10^-14

1/13 * 4(48 12)/(52 13)

Answer 2

question #1. Easy!

4/52

Answer 3

45