Questions and Answers from Chapter 9 Review

Here They Are...


The Questions and Answers for Factorial Feud

1. What are mutually exclusive events?

Events in which the occurrence of one event excludes the possibility that the other will occur.

2. A box of pencils has 35 lead pencils and 240 colored pencils. How many ways can you pull out a colored pencil and then a lead pencil?

8400 ways


3. 6 students must form a line. In how many ways can 6 line up from a group of 20?

27907200 ways

4. What is a permutation?

An arrangement in a definite order of some or all of the elements in a given set.

5. What are complementary events?

Events that complete all possibilities of a random experiment . the probability of any of the complementary events occurring is 1.

6. 20 people enter a competition to make it in America’s Best Barbershop Quartet. If only 4 can be selected, how many possible quartets are there?

4845

7. How many different circular permutations could be made with the letters “MY HOUSE”?

720

8. What is the probability of selecting an A, N, or E from the words “BANANA PEELS”?

7/11 or 63.636%

9. How many ways could 14 friends sit around a round table?

6227020800 ways

10. What is a combination?

A combination of elements in a set is a subset of those elements, without regard to the order in which the elements are arranged.

11. Without using your calculator, determine the value of 12C7

792

12. There are 14 mechanical pencils on a desk. 8 are blue, and six are green. If you choose six of them, what is the probability of 3 being blue, 3 being green? 6 being green?

160/429 or 37.3%, 1/3003

13. What does the following mean: A ∩ B?

The set of outcomes in sets A and B/ the intersection of A and B.

14. What does the following mean: A ∪ B

The union of A and B- the set of all outcomes in A or B.

15. If you are planting 2 flowers, and there is a 70% chance of the first living, and a 4% of the second living, what is the probability of both living? Neither living? The second living but not the first?

2.8%, 28.2%, 1.2%

16. Four fleas are living on a dog’s back. If the dog gets a bath, the first flea has a 20% chance of surving, the second has a 43% chance, the third has a 12% chance, and the fourth has an 87% chance. What is the probability of all surviving? None surviving? Just the third and fourth living? Only the 3rd? only the 4th?

.898%, 5.217%, 4.761%, .711%, 34.911%

17. Two dice are rolled (one pink and one purple). Find the probability that: (do these quickly-you should be able to)
a. The total is 10.
b. The total is 7.
c. The total is 2.
d. The numbers are 2 and 5
e. The pink die shows 2 and the purple die shows 5
f. The pink die shows 2 or the purple die shows 5.
1/12, 1/6, 1/36, 1/18, 1/36, 11/36

18. What is a random experiment?
The act of doing something
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19. What is a trial?
Each time you do something

20. What is another term for outcome?
Simple event

21. What is the term for all the possible outcomes?
Sample space

22. A card is drawn from a 52 card deck.
a. How many outcomes are in the sample space?
b. How many outcomes in the event that the card is a face card?
c. What is the probability that the card is a face card?
d. What is the probability that the card is red?
e. What is the probability that the card is a king?
f. What is the probability that the card is the king of hearts?
g. What is the probability that the card is in the deck?
52, 12, 12/52 or 3/13, _, 1/13, 1/52, 1

23. 8% of men have a peg leg. Suppose 20 men are selected at random at let P(x) be the probability that x of the men have a peg leg.
a. Find the binomial probability equation for this scenario and find the values for x= 0,1,2,3.
P(x)=
.18869, .32816, .27109, .14143

24. Bobby’s batting average is .3. He comes to bat 5 times during a game.
Calculate the probabilities that he got 0, 1, 2, 3, 4, and 5 hits and what is the mathematical expectation of hits for this game?

.168, .360, .309, .132, .028, .0024
Mathematical expectation is 1.5