4. A total of 2n people, consisting of n married couples, are randomly divided into n pairs. Arbitrarily number the women, and let W,denote the event that woman i is paired with her husband. (a) Find Pr(W;). (b) For i + j, find Pr(W|W;). (c) When n is large, approximate the probability that exactly one wife is paired with her husband. (d) If each pairing must consist of a man and a woman, what does the problem reduce to?

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Q: Suppose that the probability of parents to have a child with blond hair is ¼. If there are 10…

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Q: Suppose you have three bowls, XX, YY, and ZZ, each with four balls with XX having 3 red and 1 blue,…

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Q: e only 9 bottles of beer left, 2 of which have already expired. If a group of friends order 4…

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Q: 5-)Suppose 5% of men and 0.25% of women are color blind. Colorblind when the person is chosen at…

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Q: Suppose that for a very large shipment of integrated circuit chips, the probability of failure for…

A: From the given information, n=20 and the probability of failure for any chip is 0.40.

Q: Suppose that in the barangay,three out of five are registered voters. If 10 people selected at…

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Q: A subcommittee is to be selected from a committee of men and women. For this problem, assume that…

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Q: According to a study, the probability that a randomly selected teenager studied at least once during…

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Q: Suppose 55% of students are female, of which 4/5 (44%) have long hair, and 45% are male, of which…

A:

Q: Given two urns: U contains 4 red and 6 green balls and V contains 5 red and 6 green balls. A ball is…

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Q: 2. Suppose that 5 percent of men and 0.25 percent of women are color-blind. A color-blind person is…

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Q: 0% by A2, and 40 % by A3. Suppose further that 1% of the items produced by A1, 2% by A2 and 3% by A3…

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Q: 3. Suppose your school is in the midst of a flu epidemic. The probability that a randomly-selected…

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Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

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Q: In a district, 65% of the total population is in favor of rising the traffic challan. During a…

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Q: 1. Of all the 16-to-20 year-old youth, 25% are enrolled in tertiary education. If a sample of 800…

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Q: Suppose that 65% of all adults regularly consume coffee, 60% regularly consume carbonated soda, and…

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Q: suppose that in a certain large population the proportion of the labour force that is employed is…

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Q: A group of kids containing 19 boys and 11 girls is lined up in random order - that is, each of the…

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Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.