Question

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.

1. What is the probability the 13th card dealt is a King?

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

Answer 1

1/13

Answer 2

2. 1/13*4*(18 12)/(52 13)