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6.87 (a) chosen at random (a) none will be defective, (b) 1 will be defective, and (c) at least 2 will be defective Set up a sample space for the outcomes of 2 tosses of a fair coin, using 1 to represent "heads" ar 0 to represent "tails." (b) From this sample space determine the probability of at least one head. (c) Can you set up a sample space for the outcomes of 3 tosses of a coin? If so, determine with the a of it the hoot two hands?

6.87 (a) chosen at random (a) none will be defective, (b) 1 will be defective, and (c) at least 2 will be defective Set up a sample space for the outcomes of 2 tosses of a fair coin, using 1 to represent "heads" ar 0 to represent "tails." (b) From this sample space determine the probability of at least one head. (c) Can you set up a sample space for the outcomes of 3 tosses of a coin? If so, determine with the a of it the hoot two hands?

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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6.84 Three cards are drawn from a deck of 52 cards. Find the probability that (a) two are jacks and one is a king, (b) all cards are of one suit, (c) all cards are of different suits, and (d) at least two aces are drawn. 6.85 Find the probability of at least two 7's in four tosses of a pair of dice. 6.86 If 10% of the rivets produced by a machine are defective, what is the probability that out of 5 rivets chosen at random (a) none will be defective, (b) 1 will be defective, and (c) at least 2 will be defective? 6.87 (a) Set up a sample space for the outcomes of 2 tosses of a fair coin, using 1 to represent "heads” and 0 to represent "tails." (b) From this sample space determine the probability of at least one head. (c) Can you set up a sample space for the outcomes of 3 tosses of a coin? If so, determine with the aid of it the probability of at most two heads?
Transcribed Image Text:6.84 Three cards are drawn from a deck of 52 cards. Find the probability that (a) two are jacks and one is a king, (b) all cards are of one suit, (c) all cards are of different suits, and (d) at least two aces are drawn. 6.85 Find the probability of at least two 7's in four tosses of a pair of dice. 6.86 If 10% of the rivets produced by a machine are defective, what is the probability that out of 5 rivets chosen at random (a) none will be defective, (b) 1 will be defective, and (c) at least 2 will be defective? 6.87 (a) Set up a sample space for the outcomes of 2 tosses of a fair coin, using 1 to represent "heads” and 0 to represent "tails." (b) From this sample space determine the probability of at least one head. (c) Can you set up a sample space for the outcomes of 3 tosses of a coin? If so, determine with the aid of it the probability of at most two heads?
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