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If a family has three children, find the probability that the two of the children are girls?

If a family has three children, find the probability that the two of the children are girls?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. If a family has three children, find the probability that the two of the children are girls? 3. At a certain restaurant, a customer has a choice of 2 salads, 4 main dishes and 3 desserts. If every meal is to consist of a salad, a main dish and a dessert, how many choices has he to get his meal? 4. Out of forty student, 14 are taking English composition and 29 are taking Chemistry. If five students are in both classes; a. How many students are in neither class? b. How many are in either class? c. What is the probability that a randomly chosen student from this group is taking both classes? 5. A group of 62 students were surveyed and it was found that each of the students liked at least one of the following fruits: apples, bananas, cantaloupes. 34 liked apples, 30 liked bananas, 33 liked cantaloupes, 11 liked apples and bananas, 15 liked bananas and cantaloupes and 17 liked apples and cantaloupes. How many liked bananas only? How manly liked apples only? How many liked cantaloupes only? How many liked all three? 6. In how many ways can the 18 members of a Boy Scout troop elect a president, a vice- president, and a secretary, assuming that no member can hold more than one office? 7. In University of Santo Tomas students are to elect 6 representatives for Student's council. There were 15 names on the ballot paper. a. How many different 6 member councils can be formed? b. If the elected members of the council are to take up different responsibilities, then how many such councils can be formed? c. There are 8 boys and 7 girls contesting the election, how many committees of 3 boys and 3 girls can be formed? 8. In how many ways can we seat 7 people at a round table with a certain 3 people side by side? 9. The letters in the word “STATISTICS" can be arranged in how many ways? 10. In a hospital unit there are 8 nurses and 5 physicians; 7 nurses and physicians are females. If a staff person is selected, find the probability that the subject is a nurse or a male. 11. If three balls are drawn in succession from 5 white and 6 black balls in a bag, find the probability that all are of one color, if the first ball is replaced immediately while the second is not replaced before the third draw?
Transcribed Image Text:2. If a family has three children, find the probability that the two of the children are girls? 3. At a certain restaurant, a customer has a choice of 2 salads, 4 main dishes and 3 desserts. If every meal is to consist of a salad, a main dish and a dessert, how many choices has he to get his meal? 4. Out of forty student, 14 are taking English composition and 29 are taking Chemistry. If five students are in both classes; a. How many students are in neither class? b. How many are in either class? c. What is the probability that a randomly chosen student from this group is taking both classes? 5. A group of 62 students were surveyed and it was found that each of the students liked at least one of the following fruits: apples, bananas, cantaloupes. 34 liked apples, 30 liked bananas, 33 liked cantaloupes, 11 liked apples and bananas, 15 liked bananas and cantaloupes and 17 liked apples and cantaloupes. How many liked bananas only? How manly liked apples only? How many liked cantaloupes only? How many liked all three? 6. In how many ways can the 18 members of a Boy Scout troop elect a president, a vice- president, and a secretary, assuming that no member can hold more than one office? 7. In University of Santo Tomas students are to elect 6 representatives for Student's council. There were 15 names on the ballot paper. a. How many different 6 member councils can be formed? b. If the elected members of the council are to take up different responsibilities, then how many such councils can be formed? c. There are 8 boys and 7 girls contesting the election, how many committees of 3 boys and 3 girls can be formed? 8. In how many ways can we seat 7 people at a round table with a certain 3 people side by side? 9. The letters in the word “STATISTICS" can be arranged in how many ways? 10. In a hospital unit there are 8 nurses and 5 physicians; 7 nurses and physicians are females. If a staff person is selected, find the probability that the subject is a nurse or a male. 11. If three balls are drawn in succession from 5 white and 6 black balls in a bag, find the probability that all are of one color, if the first ball is replaced immediately while the second is not replaced before the third draw?
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