II. Determine whether the events are mutually exclusive, non-mutually exclusive, independent, or dependent events. 1) A rental agency has 12 white cars, 8 gray cars, 6 red cars, and 3 green cars for rent. Mr. Durant rents a car, returns it because the radio is broken, and gets another car. What is the probability that Mr. Durant is given a green car and then a gray car? 2) A fair die is tossed once and a letter is chosen from the word STATISTIC at random. Find the probability that the number obtained is greater than 1 and the letter obtained is A. 3) A bag contains 4 blue and 8 red balls. If two balls are drawn at random from the bag without replacement, what is the probability that one ball is blue and the other is red? 4) A box of chocolates contains 10 milk chocolates, 8 dark chocolates, and 6 white chocolates. Juanico randomly chooses a chocolate, eats it, and then randomly chooses another chocolate. What is the probability that Juanico chose a milk chocolate, and then, a white chocolate? 5) In Infant Jesus School, 22% of the students play basketball and 19% play volleyball and 15% play basketball and volleyball. What is the probability that a student plays volleyball or basketball?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 13CT: 13. In a group of four students, what is the probability that at least two have the same...
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II. Determine whether the events are mutually exclusive, non-mutually exclusive, independent, or
dependent events.
1) A rental agency has 12 white cars, 8 gray cars, 6 red cars, and 3 green cars for rent. Mr. Durant
rents a car, returns it because the radio is broken, and gets another car. What is the probability that
Mr. Durant is given a green car and then a gray car?
2) A fair die is tossed once and a letter is chosen from the word STATISTIC at random. Find the
probability that the number obtained is greater than 1 and the letter obtained is A.
3) A bag contains 4 blue and 8 red balls. If two balls are drawn at random from the bag without
replacement, what is the probability that one ball is blue and the other is red?
4) A box of chocolates contains 10 milk chocolates, 8 dark chocolates, and 6 white chocolates.
Juanico randomly chooses a chocolate, eats it, and then randomly chooses another chocolate.
What is the probability that Juanico chose a milk chocolate, and then, a white chocolate?
5) In Infant Jesus School, 22% of the students play basketball and 19% play volleyball and 15% play
basketball and volleyball. What is the probability that a student plays volleyball or basketball?
Transcribed Image Text:II. Determine whether the events are mutually exclusive, non-mutually exclusive, independent, or dependent events. 1) A rental agency has 12 white cars, 8 gray cars, 6 red cars, and 3 green cars for rent. Mr. Durant rents a car, returns it because the radio is broken, and gets another car. What is the probability that Mr. Durant is given a green car and then a gray car? 2) A fair die is tossed once and a letter is chosen from the word STATISTIC at random. Find the probability that the number obtained is greater than 1 and the letter obtained is A. 3) A bag contains 4 blue and 8 red balls. If two balls are drawn at random from the bag without replacement, what is the probability that one ball is blue and the other is red? 4) A box of chocolates contains 10 milk chocolates, 8 dark chocolates, and 6 white chocolates. Juanico randomly chooses a chocolate, eats it, and then randomly chooses another chocolate. What is the probability that Juanico chose a milk chocolate, and then, a white chocolate? 5) In Infant Jesus School, 22% of the students play basketball and 19% play volleyball and 15% play basketball and volleyball. What is the probability that a student plays volleyball or basketball?
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