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Suppose that the genders of the three children of a family are soon to be revealed. An outcome is represented by a string of the sort GBB (meaning the oldest child is a girl, the second oldest is a boy, and the youngest is a boy). The 8 outcomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions.

Suppose that the genders of the three children of a family are soon to be revealed. An outcome is represented by a string of the sort GBB (meaning the oldest child is a girl, the second oldest is a boy, and the youngest is a boy). The 8 outcomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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UNTING ND PR BABILI Latasha V Outcomes and event probability: Conditional probability Español (b) Suppose exactly one child is a girl. (That is, Event Y occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event X. Then, enter the probability that Event X occurs given that Event Y occurs. Outcomes given exactly one child is a girl Probability BBG BGB GBB Event X: The last child is a boy (c) Give the following probabilities and select the correct option below. Aa P(X and Y) P(Y) P(X|Y) P(X and Y ▼ P(X|Y) P(Y) Explanation Check O 2021 McGranw Hill LLC. A Rights Reserved. Terms of Use | Privacy Center | Accessibility 9: 0日門 9/ Type here to search hp ho h2 insert f6 f8 fg 144 40 esc 3. 4. 5 00 *- %24 米 %23 II
Transcribed Image Text:UNTING ND PR BABILI Latasha V Outcomes and event probability: Conditional probability Español (b) Suppose exactly one child is a girl. (That is, Event Y occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event X. Then, enter the probability that Event X occurs given that Event Y occurs. Outcomes given exactly one child is a girl Probability BBG BGB GBB Event X: The last child is a boy (c) Give the following probabilities and select the correct option below. Aa P(X and Y) P(Y) P(X|Y) P(X and Y ▼ P(X|Y) P(Y) Explanation Check O 2021 McGranw Hill LLC. A Rights Reserved. Terms of Use | Privacy Center | Accessibility 9: 0日門 9/ Type here to search hp ho h2 insert f6 f8 fg 144 40 esc 3. 4. 5 00 *- %24 米 %23 II
Español Suppose that the genders of the three children of a family are soon to be revealed. An outcome is represented by a string of the sort GBB (meaning the oldest child is a girl, the second oldest is a boy, and the youngest is a boy). The 8 outcomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions. (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability BBB BBG BGB BGG GBB GBG GGB GGG ВВВ Event X: The last child is a boy Event Y: Exactly one child is a girl Event X and Y: The last child is a boy and exactly one child is a girl (b) Suppose exactly one child is a girl. (That is, Event Y occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event X. Then, enter the probability that Event X occurs given that Event Y occurs. Explanation Check Privacy Center | Accessibillty 2021 McGraw Hill LLC. All Rights Reserved. Terms of Use 9:32 PI 4) 9/19/20 o 日 門 Type here to search Chp 112 Insert ho t8 144 144 17 114 ts 日H
Transcribed Image Text:Español Suppose that the genders of the three children of a family are soon to be revealed. An outcome is represented by a string of the sort GBB (meaning the oldest child is a girl, the second oldest is a boy, and the youngest is a boy). The 8 outcomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions. (a) Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability BBB BBG BGB BGG GBB GBG GGB GGG ВВВ Event X: The last child is a boy Event Y: Exactly one child is a girl Event X and Y: The last child is a boy and exactly one child is a girl (b) Suppose exactly one child is a girl. (That is, Event Y occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event X. Then, enter the probability that Event X occurs given that Event Y occurs. Explanation Check Privacy Center | Accessibillty 2021 McGraw Hill LLC. All Rights Reserved. Terms of Use 9:32 PI 4) 9/19/20 o 日 門 Type here to search Chp 112 Insert ho t8 144 144 17 114 ts 日H
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