Solve question #4 and solve part a and part b. Please and thank you 4.Suppose that a family has three children, each of which is a boy or a girl, and we assume thatboys and girls are equally likely at birth.a. The probability that all three children in the family are boys, if it's known that the oldest childin the family is a boy, isb. The probability that two children in the family are boys, given that at least one childin the family is a boy, isState sample space of random experiment in which three births in the family are observed.Use b for a boy and g for a girl.S=Assuming that the event "Three children in the family are boys " is denoted by A,the event "The oldest child in the family is a boy" is denoted by B,the event "Two children in the family are boys" is denoted by C, andthe event "At least one child in the family is a boy" is denoted by D,show your work in answering the questions a. and b.

Family has three children either boy or girl.Boy or girl are equally likely that is probability of…

4. Suppose that a family has three children, each of which is a boy or a girl, and we assume that boys and girls are equally likely at birth. a. The probability that all three children in the family are boys, if it's known that the oldest child in the family is a boy, is b. The probability that two children in the family are boys, given that at least one child

4. Suppose that a family has three children, each of which is a boy or a girl, and we assume that boys and girls are equally likely at birth. a. The probability that all three children in the family are boys, if it's known that the oldest child in the family is a boy, is b. The probability that two children in the family are boys, given that at least one child

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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