Suppose you draw 5 cards from a standard deck of 52 playing cards. (a) What is the probability that the hand contains exactly 3 cards from the heart suit? (b) What is the probability that the hand contains 4 or fewer cards from the heart suit? (c) What is the probability that every card in the hand is from a different suit? (d) What is the probability that every card in the hand is red OR every card in the hand is black?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Suppose you draw 5 cards from a standard deck of 52 playing cards.
(a) What is the probability that the hand contains exactly 3 cards from the heart suit?
(b) What is the probability that the hand contains 4 or fewer cards from the heart suit?
(c) What is the probability that every card in the hand is from a different suit?
(d) What is the probability that every card in the hand is red OR every card in the hand is black?
Transcribed Image Text:Suppose you draw 5 cards from a standard deck of 52 playing cards. (a) What is the probability that the hand contains exactly 3 cards from the heart suit? (b) What is the probability that the hand contains 4 or fewer cards from the heart suit? (c) What is the probability that every card in the hand is from a different suit? (d) What is the probability that every card in the hand is red OR every card in the hand is black?
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