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Transcript
Name: ______________________________
Date: ____________
Period: _________
Unit 2: Probability Unit Assessment Review
Leticia’s CD and DVD Collection
Type of CD/DVD
Number
Rock CD
26
Pop CD
17
Comedy DVD
11
Drama DVD
2
The table shows the contents of Leticia’s CD and DVD collection. Determine the likelihood of each event
below:
1.
How likely is it that a disc chosen randomly is a CD?
2. How likely is it that a disc chosen randomly is either a Pop CD or Comedy DVD?
3. Sally picks a disc at random from Leticia’s collection. How likely is it that it is a comedy DVD?
4. Leticia picks three of the same type of discs from her collection at random. Which outcome is
impossible?
5.
6. Gil rolls a fair number cube 78 times. How many times can he expect to roll an odd number greater
than 1?
7. A shoebox holds same-size disks. There are 5 red, 6 white, and 7 blue disks. You pick out a disk, record
its color, and return it to the box. If you repeat this process 250 times, how many times can you expect
to pick either a red or white disk?
8. One of the games at a carnival is the Wheel of Letters. Find the probability that the wheel will stop on
each letter. Write your answer as a fraction, as a decimal, and as a percent.
A ___________________
B
___________________
C ___________________
D
___________________
9. During archery practice, Terry hits the target on 14 out of 20 times. What is the probability that she
will miss the target?
10. Jack hit a baseball on 13 out of 30 tries during practice. What is the probability that he will hit the ball?
11. Sarah picks 2 hats at random from 5 baseball caps and 3 beanies. Once picked, she gives the first hat to
her friend Bob. What is the probability that both are baseball caps?
12. A deck contains 10 cards numbered 1 to 10. Suppose that Curtis chooses a card at random and then
chooses a second card at random after replacing the first card. What is the probability that both cards
are printed with an even number?
13.
a.
Based on these data, estimate the probability that a randomly selected ball will have a star.
b.
Based on these data, estimate the probability that a randomly selected stripe or polka dot ball is
picked.
14. Suppose a candy company claims that 20% of peanut M and M do not contain a peanut. Determine if
each simulation below accurately models this situation.
Simulation
Put 40 blue blocks and 60 red blocks in a
bag. Randomly draw out 20 blocks,
one at a time and record the results.
Put 20 black blocks and 80 white blocks in
a bag. Randomly draw out 50 blocks,
one at a time and record the results.
Put 10 red beans and 50 white beans in a
bag. Randomly draw out 30 beans, one
at a time and record the results.
Decide that ‘heads’ stands for peanuts in M
and M’s. Flip the coin 30 times and
record the results.
Put 10 red beans and 40 white beans in a
bag. Randomly draw out 40 beans, one
at a time and record the results
Yes, this simulation No, this simulation
would model this
would NOT model
situation
this situation
15. For breakfast Shannon can choose from Pancakes, Fruit Loops or scrambled eggs. She can drink milk
or orange juice.
a) Draw a sample space using a tree diagram to show all the possible outcomes.
b) What is the probability of having orange juice for breakfast?
16. A tournament consists of five teams: Bulls, Frogs, Tigers, Bears and Colts. .
a) Draw a sample space using an organized list to show all the possible outcomes.
a) What is the probability of the Bulls and Frogs playing each other in the first game?
17. An ice cream stand offers cake cones, waffles cones or cups to hold ice cream. You can get vanilla,
mint, chocolate or strawberry ice cream.
a) Draw a sample space using a table to show all the possible outcomes.
b) What is the probability of getting chocolate ice cream?