Question

You have a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 2-10, a jack, a queen, a king, and an ace.

You select one card at random from the deck. Let A be the event that the randomly selected card is a diamond and let B be the event that the card is a king. Based on this information, answer the following questions.

What is P(A) the probability that the card is a diamond?

What is P(B) the probability that the card is a king?

What is P(A and B) the probability that the card is a diamond and a king?

What is P(A | B), the conditional probability that the card is a diamond given that it is a king?

Answer 1

A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen