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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?

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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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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