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13. If M represents a male child and F a female child, the sample space of equal

ID: 2924771 • Letter: 1

Question

13. If M represents a male child and F a female child, the sample space of equally likely outcomes of a family with three children is (MMM, MMF, MFM, MFF, FMM, FMF a. Find the probability of selecting a family with at least one male child. b. Find the probability of selecting a family with at least two female children. 14. Suppose that you have purchased a lottery ticket with the number 139. The winning number will be a three-digit number between 000 and 999. What is the probability that you will win? 15. Six performers are to present their comedy acts on a weekend evening at MNE. One of the performers insists on being the last stand-up comic of the evening. If this request is granted, how many different ways are there to schedule the appearances?

Explanation / Answer

13)a) P(at least one male child) = 7/8

B) P(at least two female children) = 4/8 = 1/2

14) P(win) = 1/1000

15) no of ways = 5! = 120

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