Question
1) One ball is drawn at random from a bag containing 3 red balls and 9 white balls. (Enter your probabilities as fractions.) (a) What
1) One ball is drawn at random from a bag containing 3 red balls and 9 white balls. (Enter your probabilities as fractions.)
(a) What is the probability that the ball is red? (b) What is the probability that the ball is green? (c) What is the probability that the ball is red or white?
2)If the probability that an event will occur is 2/7. (Enter your probabilities as fractions.)(a) What are the odds in favor of the event occurring? (b) What are the odds against the event occurring?
3)If the odds that a particular horse will win a race are 1:8, what is the probability of the following? (Enter your probabilities as fractions.)
(a) that the horse will win the race (b) that the horse will lose the race
4)Forty-six percent of marijuana use among youth occurs in the inner cities. If an instance of such marijuana use is chosen at random, what is the probability that the use occurs in an inner city? (Enter your probability as a fraction.)
5)A car rental firm has 425 cars. Sixty-six of these cars have defective turn signals and 33 have defective tires. (Enter your probabilities as fractions.)
(a) What is the probability that one of these cars selected at random has defective turn signals? (b) What is the probability that one of these cars selected at random has defective tires?
6)The odds of a home in a certain country having at least one container of ice cream in the freezer are 5 to 6. What is the probability that a home chosen at random will have ice cream in its freezer? (Enter your probability as a fraction.)
7)If you draw one card at random from a deck of 27 cards numbered 1 through 27, inclusive, what is the probability that the number you draw is divisible by 9? (Enter your probability as a fraction.)
8)A six-sided die is rolled. (Enter your probabilities as fractions.)
(a) What is the probability that a 5 will result? (b) What is the probability that a 10 will result? (c) What is the probability that an odd number will result?
9)An urn contains four red balls numbered 1, 2, 3, 4, three white balls numbered 5, 6, 7, and three black balls numbered 8, 9, 10. A ball is drawn from the urn. (Enter your probabilities as fractions.)(a) What is the probability that the ball is white? (b) What is the probability that the ball is white and odd? (c) What is the probability that the ball is white or even? (d) What is the probability that the ball is black or white? (e) What is the probability that the ball is black and white?
10) A dry cleaning firm has 25 employees: 13 women and 12 men. Ten of the women and twelve of the men are 40 years old or older. The remainder are over 20 years old and under 40. (Enter your probabilities as fractions.)(a) If a person is chosen at random from this firm, what is the probability that the person is a woman? (b) If a person is chosen at random from this firm, what is the probability that the person is under 40 years of age? (c) If a person is chosen at random from this firm, what is the probability that the person is 20 years old?
11)Fifty percent of a company's total output consists of baseballs, 10% consists of softballs, and 15% consists of tennis balls. Its only remaining product is handballs. If we place balls in a box in the same ratios as the company's output and select a ball at random from the box, what is the probability of the following? (Enter your probabilities as fractions.)(a) the ball is a baseball (b) the ball is a tennis ball (c) the ball is not a softball (d) the ball is a handball
12) An urn contains three red balls numbered 1, 2, 3, four white balls numbered 4, 5, 6, 7, and three black balls numbered 8, 9, 10. A ball is drawn from the urn. (Enter your probabilities as fractions.)(a) What is the probability that it is red? (b) What is the probability that it is odd-numbered? (c) What is the probability that it is red and odd-numbered? (d) What is the probability that it is red or odd-numbered? (e) What is the probability that it is not black?
13)From a deck of 52 ordinary playing cards, one card is drawn. (Enter your probabilities as fractions.)(a) Find the probability that it is a queen. (b) Find the probability that it is a black card. (c) Find the probability that it is a heart.
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