Suppose we take the Aces, Kings, Queens, and Jacks from a standard deck of cards. There...

 

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Suppose we take the Aces, Kings, Queens, and Jacks from a standard deck of cards. There are four "types" of each: clubs, spades, diamonds, and hearts. Thus, there are four different Aces: Ace of clubs, Ace of spades, Ace of diamonds, Ace of hearts. This is the same for Kings, Queens, and Jacks, giving 16 cards total in use. Clubs and spades are "black" cards and diamonds and hearts are "red" cards. We shuffle the cards and lay them flat on a table and randomly flip over two cards at the same time. (A) What is the probability that the two cards are the same color? (round to two decimal places) (B) What is the probability that the two cards are the same type? (round to two decimal places) (C) Let A = the event that both cards are the same color, and B = the event that both cards are the same type. What is P(A U B)? (round to two decimal places) Suppose we take the Aces, Kings, Queens, and Jacks from a standard deck of cards. There are four "types" of each: clubs, spades, diamonds, and hearts. Thus, there are four different Aces: Ace of clubs, Ace of spades, Ace of diamonds, Ace of hearts. This is the same for Kings, Queens, and Jacks, giving 16 cards total in use. Clubs and spades are "black" cards and diamonds and hearts are "red" cards. We shuffle the cards and lay them flat on a table and randomly flip over two cards at the same time. (A) What is the probability that the two cards are the same color? (round to two decimal places) (B) What is the probability that the two cards are the same type? (round to two decimal places) (C) Let A = the event that both cards are the same color, and B = the event that both cards are the same type. What is P(A U B)? (round to two decimal places)

Answer rating: 100% (QA)

SOLUTION A There are two cases where the two cards are the same color either both cards are red or b... View the full answer