Question 490349: A pet shop is selling a calico cat, a Siamese cat, a Persian cat, 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. Determine the probability that they select
c) the Persian cat.
d) the Persian cat and the calico cat.
e) cats other than the Persian cat.
Can I have some help with this, please? Also, how should the tree diagram look?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
A pet shop is selling a calico cat, a Siamese cat, a Persian cat, 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.
Ans: 4C2 = 6
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b) Construct a tree diagram and list the sample space. Determine the probability that they select
c) the Persian cat.
Ans: 1 way to select the Persian; 3 ways to select the 2nd cat.
P(select Persian) = (1*3)/6 = 1/2
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d) the Persian cat and the calico cat.
Ans: 1 way to select the P and the C
P(P and C) = 1/6
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e) cats other than the Persian cat.
Ans: 3C2 = 3 ways to pick a non-Persian pair.
P(non-Persian pair) = 3/6 = 1/2
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Can I have some help with this, please? Also, how should the tree diagram look?
See the following online site about tree diagrams:
http://www.onlinemathlearning.com/probability-tree-diagrams.html
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Cheers,
Stan H.
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