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4. There are 20 socks in a drawer, 10 blue and 10 black. Two socks are selected at random from the drawer. Assume that all outcomes are equally likely. What is the probability that these two socks are of the same color?

4. There are 20 socks in a drawer, 10 blue and 10 black. Two socks are selected at random from the drawer. Assume that all outcomes are equally likely. What is the probability that these two socks are of the same color?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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4. There are 20 socks in a drawer, 10 blue and 10 black. Two socks are selected at random from the drawer. Assume that all outcomes are equally likely. What is the probability that these two socks are of the same color? 5. A standard deck of playing cards consists of 52 cards. Each card has a rank and a suit. There are 13 possible ranks (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K), 4 possible suits (spades, clubs, hearts, diamonds), and 13 cards for each suit (one for each rank). Assume that all outcomes are equally likely. What is the probability that a hand of 5 cards dealt from the deck contains only hearts? 6. A die is loaded so that rolling an even number is three times as likely as rolling an odd number. What is the probability of rolling a number greater than 4 with this die?
Transcribed Image Text:4. There are 20 socks in a drawer, 10 blue and 10 black. Two socks are selected at random from the drawer. Assume that all outcomes are equally likely. What is the probability that these two socks are of the same color? 5. A standard deck of playing cards consists of 52 cards. Each card has a rank and a suit. There are 13 possible ranks (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K), 4 possible suits (spades, clubs, hearts, diamonds), and 13 cards for each suit (one for each rank). Assume that all outcomes are equally likely. What is the probability that a hand of 5 cards dealt from the deck contains only hearts? 6. A die is loaded so that rolling an even number is three times as likely as rolling an odd number. What is the probability of rolling a number greater than 4 with this die?
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