5) Now let's play a game that has 4 cards: one of them is a heart, one is a diamond, one is a spac is a club. One round of the game involves selecting a card, noting its suit, replacing it, and then dra second card. And that's the end of the round. a) Draw a lattice diagram for the outcomes in one round of the game. p) What is the probability that both cards will be hearts? OWhat is the probability that we will have exactly one heart? What is the probability that we will have at least one heart? What is the probability that both cards are black (spades and/or clubs)? What is the probability that both cards are the same color?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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12:29 AM Wed Apr 28
5) Now let's play a game that has 4 cards: one of them is a heart, one is a diamond, one is a spade, and one
is a club. One round of the game involves selecting a card, noting its suit, replacing it, and then drawing a
second card. And that's the end of the round.
a) Draw a lattice diagram for the outcomes in one round of the game.
) What is the probability that both cards will be hearts?
c) What is the probability that we will have exactly one heart?
d) What is the probability that we will have at least one heart?
What is the probability that both cards are black (spades and/or clubs)?
What is the probability that both cards are the same color?
Transcribed Image Text:12:29 AM Wed Apr 28 5) Now let's play a game that has 4 cards: one of them is a heart, one is a diamond, one is a spade, and one is a club. One round of the game involves selecting a card, noting its suit, replacing it, and then drawing a second card. And that's the end of the round. a) Draw a lattice diagram for the outcomes in one round of the game. ) What is the probability that both cards will be hearts? c) What is the probability that we will have exactly one heart? d) What is the probability that we will have at least one heart? What is the probability that both cards are black (spades and/or clubs)? What is the probability that both cards are the same color?
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