gold watch? 692 In a factory manufacturing fountain pens, machines X, Y and Z manufacture 20, 30 and 50 percent of the total production of fountain pens, respectively, of their output, 2, 3 and 4 percent of the fountain pens are defective. If one fountain pen is selected at random and is found to be defective, what is the probability that it is manufactured by machine Z. hobility of winning a state lottery in which one is required to choose six of the numbers 1,

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solve 6.92

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probability
(b) If
to agency 2.
6.91 Each of three identical jewelry boxes has two drawers. In each drawer of the first box there is a gold
watch. In each drawer of the second box there is a silver watch. In one drawer of the third box there is
a gold watch, while in the other drawer there is a silver watch. If we select a box at random, open one
of the drawers, and find it to contain a silver watch, what is the probability that the other drawer has the
gold watch?
6.92 In a factory manufacturing fountain pens, machines X, Y and Z manufacture 20, 30 and 50 percent of
the total production of fountain pens, respectively, of their output, 2, 3 and 4 percent of the fountain
pens are defective. If one fountain pen is selected at random and is found to be defective, what is the
probability that it is manufactured by machine Z.
6.93 Find the probability of winning a state lottery in which one is required to choose six of the numbers 1,
2, 3,..., 40 in any order.
6.94 Work Problem 6.93 if one is required to choose (a) five, (b) four, and (c) three of the numbers.
6.95 In the game of poker, five cards from a standard deck of 52 cards are dealt to each player. Determine
the odds against the player receiving:
(a) A royal flush (the ace, king, queen, jack, and 10 of the same suit)
(b) A straight flush (any five cards in sequence and of the same suit, such as the 3, 4, 5, 6, and 7 of
spades)
Transcribed Image Text:probability (b) If to agency 2. 6.91 Each of three identical jewelry boxes has two drawers. In each drawer of the first box there is a gold watch. In each drawer of the second box there is a silver watch. In one drawer of the third box there is a gold watch, while in the other drawer there is a silver watch. If we select a box at random, open one of the drawers, and find it to contain a silver watch, what is the probability that the other drawer has the gold watch? 6.92 In a factory manufacturing fountain pens, machines X, Y and Z manufacture 20, 30 and 50 percent of the total production of fountain pens, respectively, of their output, 2, 3 and 4 percent of the fountain pens are defective. If one fountain pen is selected at random and is found to be defective, what is the probability that it is manufactured by machine Z. 6.93 Find the probability of winning a state lottery in which one is required to choose six of the numbers 1, 2, 3,..., 40 in any order. 6.94 Work Problem 6.93 if one is required to choose (a) five, (b) four, and (c) three of the numbers. 6.95 In the game of poker, five cards from a standard deck of 52 cards are dealt to each player. Determine the odds against the player receiving: (a) A royal flush (the ace, king, queen, jack, and 10 of the same suit) (b) A straight flush (any five cards in sequence and of the same suit, such as the 3, 4, 5, 6, and 7 of spades)
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