target: find and interpret experimental and theoretical probabilities

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Target: Find and interpret experimental and theoretical probabilities.

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Page 1: Target: Find and interpret experimental and theoretical probabilities

Target: Find and interpret

experimental and theoretical probabilities.

Page 2: Target: Find and interpret experimental and theoretical probabilities

Write each percent as a fractionWrite each percent as a decimal.

1. 50%

2. 10%

3. 89%

Write each fraction as a percent.

4.

5.  

6. Juan flipped a coin 10 times and it landed heads 7 times. Write the ratio of number of times the coin landed heads to

total number of flips.

4

1

5

4

Page 3: Target: Find and interpret experimental and theoretical probabilities

Probability: ◦ The measure of how likely it is an even will occur.

Outcome: ◦ One possible result from an experiment or probability event.

Event: ◦ A desired outcome or group of outcomes.

Theoretical Probability: ◦ The ratio of favorable outcomes to the number of possible outcomes.

total

favorable

Page 4: Target: Find and interpret experimental and theoretical probabilities

Experimental Probability: ◦ The ratio of the number of times an event occurs to the total

number of trials.

Trial: A single act of performing an experiment.

Complement: Two probabilities whose sum is 1. Together they make up all the possible outcomes without repeating any outcomes.

Page 5: Target: Find and interpret experimental and theoretical probabilities

outcomes possible ofnumber

outcomes favorable ofnumber P(event) event an ofy Probabilit

Page 6: Target: Find and interpret experimental and theoretical probabilities

a. Find P(1 or 2) when rolling a number cube.

b. Find P(7) when rolling a number cube.

3

1

6

2

6) 5, 4, 3, 2, (1, outcomes possible ofnumber

2) (1, outcomes favorable ofnumber 2)or P(1

06

0

6) 5, 4, 3, 2, (1, outcomes possible ofnumber

(0) outcomes favorable ofnumber P(7)

Page 7: Target: Find and interpret experimental and theoretical probabilities

trialsofnumber total

occursevent the timesofnumber P(event)

Page 8: Target: Find and interpret experimental and theoretical probabilities

Use the spinner to write each probability as a fraction decimal and percent.

Page 9: Target: Find and interpret experimental and theoretical probabilities

Kyle rolled a number cube 60 times. His results are shown in the table below.

a. Find Kyle’s experimental probability of rolling a 6.

b. Find Kyle’s experimental probability of not rolling a 6.

Number rolled 1 2 3 4 5 6

Frequency 8 12 6 15 4 15

4

1

60

15

trialsofnumber

rolled was6 a timesofnumber )6(P

4

3

60

45

(60) trialsofnumber

4)15612 (8 rollednot was6 a timesofnumber 6)P(not

Page 10: Target: Find and interpret experimental and theoretical probabilities

Kyle rolled a number cube 60 times. His results are shown in the table below.

c. Find the theoretical probability of rolling a 6.

d. Find the theoretical probability of not rolling a 6.

Number rolled 1 2 3 4 5 6

Frequency 8 12 6 15 4 15

6

1

outcomes possible ofnumber

outomes favorable ofnumber P(6)

6

5

outcomes possible ofnumber

outcomes favorable ofnumber 6)P(not

Page 11: Target: Find and interpret experimental and theoretical probabilities

Mr. Tibbets has a deck of cards numbered 1 through 20. The cards are

shuffled. One card is picked at random. Find each probability.

1. P(7)

2. P(odd number)

3. P(40)

4. Martha picked cards 40 times and picked a “7” four times.

a. What is the experimental probability Martha will pick a “7”?

b. Is Martha’s experimental probability greater than or less than the

theoretical probability of picking a “7”?

Page 12: Target: Find and interpret experimental and theoretical probabilities

Your friend needed a coin to land “tails” to win a new shirt at the mall. The coin was tossed 15 times and never landed “tails”. She complained that the coin wasn’t fair. What do you think? Why?

Page 13: Target: Find and interpret experimental and theoretical probabilities

Probability

Lesson 13

Page 14: Target: Find and interpret experimental and theoretical probabilities
Page 15: Target: Find and interpret experimental and theoretical probabilities