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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?

A First Course in Probability (10th Edition)
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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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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