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Homework
Geometry & Probability
Unit D Lesson 1-5 Practice
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Date
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Lesson 5
1.
In a small town, 80% of people bike to work. Which way of assigning numbers to outcomes can you use to
simulate the probability that someone chosen at random bikes to work? Check all that apply.
❑ A. Use numbers from 0 to 9.
❑ C. Use numbers from 1 to 10.
Bike: 0, 1, 2, 3, 4, 5, 6, 7
Bike: 1, 2, 3, 4, 5, 6, 7, 8
Do not bike: 8, 9
Do not bike: 9, 10
❑ B. Use numbers from 0 to 9.
❑ D. Use numbers from 0 to 10.
Bike: 8
Bike: 9, 10
Do not bike: 0, 1, 2, 3, 4, 5, 6, 7
Do not bike:0, 1, 2, 3, 4, 5, 6, 7, 8
2.
Sports A baseball team wins about 25% of its games. The number 1 represents a win. The numbers, 2, 3, and 4
represent a loss. The simulation uses random numbers to simulate playing 5 games ten times. Circle those
trials which simulate the team winning more than 1 game.
12244
43121
31341
13331
14111
24224
41323
11211
13323
33321
Lesson 4
3.
A coin is tossed two times in succession. The results of 100 trials are shown in the table
where H represents a coin landing on heads and T represents a coin landing on tails. For
which compound event is the result closest to the result predicted by theoretical
probability?
❍ A. HT
❍ C. TT
❍ B. HH
❍ D. TH
The table shows the results of rolling a number cube and tossing a coin 120 times. The numbers 1 through 6
represent the numbers on a standard number cube. The letter H represents a coin landing on a head and the
letter T represents the coin landing on a tail.
4.
The theoretical probability of P(4,T) is ________________.
5.
The experimental probability of P(4,T) is _______________.
6.
How does the experimental probability compare with the theoretical probability for P(4,T)?
❍ A. The experimental probability is greater than the theoretical probability.
❍ B. The experimental probability is equal to the theoretical probability.
❍ C. The experimental probability is less than the theoretical probability.
Lesson 1
How many steps in each action?
7. __________ Roll two number cubes two times, then roll one number cube one time.
8. __________ Select one person from three different groups.
9. __________ Select two six character passwords.
10. __________ Flip four coins.
page 2
G&P Unit D Lesson 1-5 Practice
Lesson 3
11. In a bag of marbles there are 9 blue marbles and 6 red marbles. You pick one marble out of the bag
and then, without replacing the first marble, you pick another marble out of the bag. How many
ways can you pick two blue marbles? SHOW YOUR WORK.
Think About the Process Without repeating letters and digits, create three-character passwords using the letters
and digits S, 2, T, or 9.
12. Which list below shows the sample space?
❍ A. {SSS, SS2, SST, SS9, S2S, S22, S2T, S29, STS, ST2, STT, ST9, S9S, S92, S9T, S99, 2SS, 2S2, 2ST, 2S9, 22S, 222,
22T, 229, 2TS, 2T2, 2TT, 2T9, 29S, 292, 29T, T29, TTS, TT2, TTT, TT9, T9S, T92, T9T, 299, TSS, TS2, TST, TS9, T2S,
T22, T2T, T99, 9SS, 9S2, 9ST, 9S9, 92S, 92T, 929, 9TS, 9T2, 9TT, 9T9, 99S, 992, 99T, 999}
❍ B. {S2T, S29, ST9, SSS, 2T9, 222, TTT, 999}
❍ C. {S2T, S29, ST2, ST9, S92, S9T, 2ST, 2S9, 2TS, 2T9, 29S, 29T, TS2, TS9, T2S, T29, T9S, T92, 9S2, 9ST, 92S,
92T, 9TS, 9T2}
13. How can you find the number of those passwords that begin with T?
❍ A. Count the number of passwords in the sample space.
❍ B. Use the counting principle to find the number of passwords in the sample space.
❍ C. Count the number of passwords in the sample space that begin with T.
14. How many of those passwords begin with T? _________________
Lesson 2
Writing There are four stores that sell school supplies (S1, S2, S3, and S4) and three stores that sell sporting goods
(G1, G2, G3).
15. Which tree diagram displays the sample space of stores you could visit to buy a tennis racquet and then a
backpack?
16. How many different outcomes are there? _________________