Suppose a couple planned to have three children. Let X be the number of girls the couple has. (a) List all possible arrangements of girls and boys. For example, if the couple had 2 girls and then a boy, then type GGB. (Separate each item in your list with a comma.): (b) List the sample space for X. (i.e. List the possible values that X may take separated by commas.): (c) What is the probability that X = 1?
Suppose a couple planned to have three children. Let X be the number of girls the couple has. (a) List all possible arrangements of girls and boys. For example, if the couple had 2 girls and then a boy, then type GGB. (Separate each item in your list with a comma.): (b) List the sample space for X. (i.e. List the possible values that X may take separated by commas.): (c) What is the probability that X = 1?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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Question
![Suppose a couple planned to have three children. Let X
be the number of girls the couple has.
(a) List all possible arrangements of girls and boys. For
example, if the couple had 2 girls and then a boy, then
type GGB. (Separate each item in your list with a
comma.):
(b) List the sample space for X. (i.e. List the possible
values that X may take separated by commas.):
(c) What is the probability that X = 1?
(d) Find the probability that the couple have three boys:
EE](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cabdb2d-0402-49dd-8a48-9c2384820af6%2F8f69cf2a-61f2-446f-9f5f-8195fc37772e%2Fgvpcn54_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose a couple planned to have three children. Let X
be the number of girls the couple has.
(a) List all possible arrangements of girls and boys. For
example, if the couple had 2 girls and then a boy, then
type GGB. (Separate each item in your list with a
comma.):
(b) List the sample space for X. (i.e. List the possible
values that X may take separated by commas.):
(c) What is the probability that X = 1?
(d) Find the probability that the couple have three boys:
EE
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