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Mathematics, 10.03.2022 14:00 brooklynunderwood46

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?

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