Name _______________________

9.2. Calculating Probabilities

Answer each question or solve each problem as it connects to probability.

1. For rolling a four on the number cube:

(a) List each favorable outcome.

(b) Count the number of favorable outcomes.

(c) Write the total number of outcomes.

2. For rolling a number greater than two on the number cube:

(a) List each favorable outcome.

(b) Count the number of favorable outcomes.

(c) Write the total number of outcomes.

3. What is the probability of the spinner landing on nine?

4. What is the probability of the spinner landing on three or four?

5. What is the probability of the spinner landing on blue?

6. What is the probability of the spinner landing on a silver number greater than four?

Answer each question and write the probability as a fraction, a decimal and a percent.

7. A clothes dryer contains 12 socks. What is the probability of reaching inside the dryer and pulling out a blue sock?

8. What is the probability of pulling a blue or white sock out of the dryer?

9. What is the probability of pulling a blue or red sock out of the dryer?

Use what you have learned about experimental probability to complete each problem.

Use the table below to compute the experimental probability of the arrow in the spinner landing on yellow.

trial

1

2

3

4

5

6

Total

number of times arrow landed on yellow

4

2

3

1

2

5

total number of spins

10

10

10

10

10

10

experimental probability

10. How many favorable outcomes were there in the experiment?

11. How many total outcomes were there in the experiment?

12. What is the experimental probability of the arrow landing on yellow?

Now look at predictions and hypotheses with experimental probability.

13. Tally results and compute predictions and experimental probability for the coin flip experiment shown in the table below. How close was the actual data to the predicted value?

Hypothesis: A coin lands on heads 50% of the time.

trial

1

2

3

4

5

Prediction

Total

tally

heads

6

5

4

7

5

25

27

total flips

10

10

10

10

10

50

50

percent

50%

54%

14. Alex Rodriguez compiled this batting record shown over the first five months of the 6-month season. Based on A-Rod’s monthly home run total, predict the number of total home runs Rodriguez will have at the end of the month of September. [source for A-Rod: ESPN.com]

April

May

June

July

Aug

Sept

Home runs

14

5

9

7

9

15. If A-Rod’s team plays 1 game each day during the month of September, and his home runs are evenly distributed throughout the month, predict the date on which Rodriguez will hit home run number 50.

16. At the end of August, A-Rod had 489 at-bats. Predict the total number of at-bats A-Rod will have on the day he hits home run number 50.

17. Suppose at the end of April you were asked to predict the number of home runs A-Rod would have over an entire 6-month season. What would your prediction be?

18. Suppose Rodriguez finishes the year with a total of 520 career home runs at the end of 2007. If he continues at his monthly pace from this year, during which year and what month do you predict that A-Rod will hit home run number 800? (Assume each baseball season has six months, April to September.)