SOLUTION: This is my last question I promise, I think I finally may have this. A pet shop is selling a calico cat, a Siamese, persian, and a Himalayan cat. The Chens are going to select t

Question 64811This question is from textbook A survey of mathematics
: This is my last question I promise, I think I finally may have this.
A pet shop is selling a calico cat, a Siamese, persian, and a Himalayan cat. The Chens are going to select two cats to bring home as pets.
a. determine the number of points in the sample space.
b. construct a tree diagram and list the sample space
c. find the probaility that they will select the Persian cat, the Persian cat and the Calico,cats other than the Persian Cat This question is from textbook A survey of mathematics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A pet shop is selling a calico cat, a Siamese, persian, and a Himalayan cat. The Chens are going to select two cats to bring home as pets.
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a. determine the number of points in the sample space.
4C2=6 pairs of cats
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b. construct a tree diagram and list the sample space
1st column: calico, siamese, persian, Himalayan
2nd column: siamese,himalayan, and persian next to calico
calico, himalayan, and persian next to siamese
calico, himalayan, and siamese next to persian
calico, persian, calico, next to himalayan
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c. find the probaility that they will select the Persian cat, the Persian cat and the Calico,cats other than the Persian Cat
Prob(persian)= 6/12=1/2
Prob(persian and calico)=2/12=1/6
Prob(not persian)=6/12=1/2
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Cheers,
Stan H.

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