SOLUTION: Use the counting principle to determine the answer to part (a). Assume that each event is equally likely to occur. Pet Shop A pet shop is selling a calico cat, a Siamese cat, a P

Algebra ->  Probability-and-statistics -> SOLUTION: Use the counting principle to determine the answer to part (a). Assume that each event is equally likely to occur. Pet Shop A pet shop is selling a calico cat, a Siamese cat, a P      Log On


   



Question 370554: Use the counting principle to determine the answer to part (a). Assume that each event is equally likely to occur.
Pet Shop 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.
Please help me.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
4 cats are for sale.
a)There are 6 points in the sample space of 2 cats each. No point has the same 2 cats in it as any other point
b) We are unable to do tree diagrams on this site.
c) Since 3 of the 6 points have a Persian then the probability is 3/6 or 1/2.
d) Since these 2 cats are one of the points in the sample space of 6 points then the probability is 1/6.
e) Since 3 of the 6 points don't have a Persian then the probability is 3/6 or 1/2.
.
Ed