Chapter 5 Review Worksheet.pdf

# A if a and b are mutually exclusive then they must be

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a) If A and B are mutually exclusive, then they must be independent. b) If A and B are independent, then they must be mutually exclusive. c) If A and B are not mutually exclusive, then they must be independent. d) If A and B are not independent, then they must be mutually exclusive. e) If A and B are independent, then they cannot be mutually exclusive. 9. Choose an American adult at random. The probability that you choose a woman is 0.52. The probability that the person you choose has never married is 0.25. The probability that you choose a woman who has never married is 0.11. The probability that the person you choose is either a woman or has never been married (or both) is therefore about a) 0.77. b) 0.66. c) 0.44. d) 0.38. e) 0.13. 10. A deck of playing cards has 52 cards, of which 12 are face cards. If you shuffle the deck well and turn over the top 3 cards, one after the other, what s the probability that all 3 are face cards? a) 0.001 b) 0.005 c) 0.010 d) 0.012 e) 0.02

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FREE RESPONSE: Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanation. 11. Your teacher has invented a fair dice game to play. Here s how it works. Your teacher will roll one fair eight-sided die, and you will roll a fair six-sided die. Each player rolls once, and the winner is the person with the higher number. In case of a tie, neither player wins. The table shows the sample space of this chance process. Teacher Rolls You Roll 1 2 3 4 5 6 7 8 1 2 3 4 5 6 a) Let A be the event your teacher wins . Find 𝑃(?) .
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