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ther ödd, even, odd or (2) even, odd, even. 6.49 The odds in favor of A winning a game of chess against B are 3:2. If three games are to be played, what are the odds (a) in favor of A's winning at least two games out of the three and (b) against A losing the first two games to B?

ther ödd, even, odd or (2) even, odd, even. 6.49 The odds in favor of A winning a game of chess against B are 3:2. If three games are to be played, what are the odds (a) in favor of A's winning at least two games out of the three and (b) against A losing the first two games to B?

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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only one is red. 6.45 Work Problem 6.43 if there is no replacement after each drawing. 6.46 Find the probability of scoring a total of 7 points (a) once, (b) at least once, and (c) twice in two tosses of a pair of fair dice. 6.47 Two cards are drawn successively from an ordinary deck of 52 well-shuffled cards. Find the probability that (a) the first card is not a 10 of clubs or an ace, (b) the first card is an ace but the second is not. (c) at least one card is a diamond, (d) the cards are not of the same suit, (e) not more than one card is a picture card (jack, queen, king), (f) the second card is not a picture card, (g) the second card is not a picture card given that the first was a picture card, and (h) the cards are picture cards or spades or both. 6.48 A box contains 9 tickets numbered from 1 to 9 inclusive. If 3 tickets are drawn from the box one at a time, find the probability that they are alternately either (1) odd, even, odd or (2) even, odd, even. 6.49 The odds in favor of A winning a game of chess against B are 3:2. If three games are to be played, what are the odds (a) in favor of A's winning at least two games out of the three and (b) against A losing the first two games to B? 6.50 A purse contains 2 silver coins and 4 copper coins, and a second purse contains 4 silver coins and 3 copper coins. If a coin is selected at random from one of the two purses, what is the probability that it is a silver coin? second 3 6.51 The probability that a man will be alive in 25 years is and the probability that his wife will be alive 5 in 25 years is 2 - 3 the wife will be alive, and (d) at least one will be alive. Find the probability that (a) both will be alive, (b) only the man will be alive, (c) only
Transcribed Image Text:only one is red. 6.45 Work Problem 6.43 if there is no replacement after each drawing. 6.46 Find the probability of scoring a total of 7 points (a) once, (b) at least once, and (c) twice in two tosses of a pair of fair dice. 6.47 Two cards are drawn successively from an ordinary deck of 52 well-shuffled cards. Find the probability that (a) the first card is not a 10 of clubs or an ace, (b) the first card is an ace but the second is not. (c) at least one card is a diamond, (d) the cards are not of the same suit, (e) not more than one card is a picture card (jack, queen, king), (f) the second card is not a picture card, (g) the second card is not a picture card given that the first was a picture card, and (h) the cards are picture cards or spades or both. 6.48 A box contains 9 tickets numbered from 1 to 9 inclusive. If 3 tickets are drawn from the box one at a time, find the probability that they are alternately either (1) odd, even, odd or (2) even, odd, even. 6.49 The odds in favor of A winning a game of chess against B are 3:2. If three games are to be played, what are the odds (a) in favor of A's winning at least two games out of the three and (b) against A losing the first two games to B? 6.50 A purse contains 2 silver coins and 4 copper coins, and a second purse contains 4 silver coins and 3 copper coins. If a coin is selected at random from one of the two purses, what is the probability that it is a silver coin? second 3 6.51 The probability that a man will be alive in 25 years is and the probability that his wife will be alive 5 in 25 years is 2 - 3 the wife will be alive, and (d) at least one will be alive. Find the probability that (a) both will be alive, (b) only the man will be alive, (c) only
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