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Test review for Probability Unit 9 Test
Algebra 3-4 Unit 9Test REVIEW Name Date
A B C
1. (9.1) A pizza shop offers 6 different types of crust, 3 types of sauce and 12 different toppings. How many ways can a customer pick one crust and one topping?
Bob has 5 shirts, 3 pairs of pants, and 2 pairs of shoes. How many different ways can he choose an outfit?
You must make a password for your email account. The password must consist of two letters followed by four digits. How many different passwords are possible?
2. (9.1) Evaluate:
Sarah flipped a coin 15 times. It landed on tails 9 times. What is her experimental probability of the coin landing on heads?
You rolled a dice 30 times. It landed on 5 thirteen times. What is the experimental probability of rolling a 5?
A baseball player got a hit in 12 of his last 40 at bats. What is the probability that he will get a hit in his next at bat?
A bag contains 20 red marbles, 16 white marbles, and 25 blue marbles.
Find P(not red)
5. (9.3) Decide if the events are mutually exclusive:
Two fair number cubes are rolled. Their sum is greater than 11; one of the numbers is a six.
Decide if the events are mutually exclusive:
Your birthday is in February. Your birthday is on the 31st.
Two fair number cubes are rolled. Their sum is less than 5; one of the numbers is a six.
6. (9.3) Decide if the events are independent or dependent.
You roll a single die, it lands on 5. You flip a coin, it lands on tails.
Decide if the events are independent or dependent.
A stack of cards is numbered 1-5. You pick one card, and don’t put it back. You pick another card.
You pick a white marble from a jar, and put it back. You pick a red marble.
7. (9.2) What is the probability of rolling two dice and getting a sum of 4?
What is the probability of rolling two dice and getting a sum of 9?
What is the probability of rolling two dice and getting a sum of 2 or 3?
8. (9.1) Sergio has 7 textbooks for even day classes. He can only fit 2 into his backpack. How many ways can he choose 2 books to fit into his backpack?
How many ways can Cole arrange his 9 paintings in a row?
You have 10 friends. How many ways can you pick 5 of your friends to invite to the movies?
9. (9.3) A bag contains 3 red marbles, 5 white marbles, and 4 blue marbles. You draw one marble, keep it then draw a second marble.
Find P(red then blue).
A bag contains 3 red marbles, 5 white marbles, and 4 blue marbles. You draw one marble, put it back, then draw a second marble.
Find P(red or blue).
What is the probability of rolling a dice four times and rolling a 3 each time?
10. (9.3) Suppose S and T are mutually exclusive events. Find P(S or T).
P(S) = 35% P(T) = 41%
Suppose S and T are mutually exclusive events. Find P(S or T).
P(S) = 1/3 P(T) = 2/5
P(S) = .4 P(T) = .3
Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the contingency table. Find the probability that the student preferred afternoon classes given he or she is a junior. Round to the nearest thousandth.
P(morning class | sophomore)
12. (9.4)A study of traffic patterns in a large city shows that if the weather is rainy, there is a 60% chance of an automobile accident occurring during the morning commute. If the weather is clear, the chance of an accident is reduced to 35%. Suppose the weather forecast for tomorrow predicts a 30% chance of rain.
a. Draw a tree diagram based on the information.
b. Find P(it will rain tomorrow and there will be an accident). Show your work.
c. Find P(there will be an accident tomorrow). Show your work.
13. Local license plates used to have 5 digits and one letter. Now the plates have 3 letters and 3 digits. How many more plates are there now than there used to be?
Writing: Using 2 -3 sentences Compare theoretical and experimental probability. Give an example each type of probability.
A batter’s strike zone varies based on his height and stance. If a given strike zone measures 17 x 20 inches. What is the probability that the batter will hit the ball high and inside the strike zone if that portion measures 3 x 6 inches?ntal probability of the coin landing on heads?
b. Find P(it will rain tomorrow and there will be an acc