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1.
Name:
A box contains 4 green, 5 yellow, and 3 purple balls. Find the probability that if you pick three balls without replacement that
you pick a purple ball, then a yellow ball, then a purple ball.
2. Use the chart below to answer the following questions.
2 –door
4-door
Total
Red Cars
12
15
27
Blue Cars
30
7
37
Total
42
22
64
a)
Find the probability that a car chosen at random is blue given that it is a 2-door.
b)
Find the probability that a car chosen at random is a 4-door given that it is red.
3. What is the probability that a card is a King given that it is a red card?
4. What is the probability that you rolled a 6 given the number you rolled is larger than 4?
5. A class has 30 students. The class has 20 sophomores, 12 are female and 8 are male. The other 10 students are juniors, of those
4 are female and 6 are male. Find each probability.
a) p(male/sophomore)
b) p(junior/female)
c) p(female/sophomore)
6. The percent chance that a person has a pet is 65%.
a) If three students are chosen at random, what is the probability that they all have a pet?
b) If 8 students are chosen at random, what is the probability that 5 of them have a pet?
7. A lunch menu consists of 6 different kinds of sandwiches, 2 kinds of soup, and 7 different drinks. How many choices are there for
ordering a sandwich, a bowl of soup, and a drink?
8. In how many ways can a chairman and CEO be chosen from 9 eligible candidates?
9. A hat contains 25 names, 14 of which are female. If eight names are randomly drawn from the hat:
a) What is the probability that 5 names are male and 3 names are female?
b) What is the probability that at least 7 male names are drawn?
10. How many ways can seven dogs finish in a dog race?
11. If seven dogs are in a dog race, in how many ways can they finish first, second, and third?
12. In how many ways can 3 dogs out of 7 be chosen to be in a movie?
13. How many ways can 4 golden retrievers and 4 black labs be placed in a row if
a) The retrievers and labs must alternate?
b) The row must begin and end with a black lab?
c)
The dogs are placed oldest to youngest?
14. You are assigned a code with 3 numbers from 1 – 40. What is the probability that:
a) You get a code that has no repeating digits?
b) You get a code that has the number 23. (The number 23 can be 1st, 2nd or 3rd)
15. You enter a school raffle in which the percent chance of winning a prize each time you buy a ticket is 20%. If the raffle tickets
are picked one by one and you buy 10 raffle tickets, what is the probability that you win twice? (Exactly twice, not at least twice)