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Probability questionsProbability Lesson 3

Learning Target: Students will be able to use the experimental probability to make predictions

about the frequency of an event.

Part 1: Using theoretical and experimental probability for predictions

a. Jill has a bag of 48 marbles. The probability of pulling out a yellow marble is 5/6. How

many yellow marbles are in the bag?

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b. Ivan’s batting average is 0.3. If he is up to bat 70 times, how many times can the coach

expect him to hit the ball?

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c. The spinner lands on red 5/8 times. How many times can we expect the spinner to land

on red if the spinner is spun 96 times?

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d. A bag holds red, white, and blue marbles. Alison pulls one marble from the bag and

records the results. Then she returns the marble to the bag and pulls another. The table

shows her results.

Color Outcomes

Red 22

White 48

Blue 30

Based on the outcomes, enter the number of times Alison can expect to pull a white

marble if Allison pulls out a marble 25 times.

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e. It rains 2 out of 12 days in March. If the trend continues, how many days will it rain in

April. April has 30 days.

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Part 2: Law of Large Numbers

a. Multiple Choice: The theoretical probability of a coin landing heads up is
1

2
. She flips a fair

coin 4 times, but it lands facing up tails up 3 4 . Which statements best explains

why the theoretical probability is different than her experimental probability?

A. They most likely differ because of the kind of coin is used.

B. They most likely differ because the coin had tails on both sides.

C. They most likely differ because
1

2

3

4
have different denominators.

D. They most likely differ because the sample size is too small.

b. Multiple Choice: The theoretical probability of rolling a 5 on a 6-sided dice is
1

6
. She rolls the

dice 4 times, but it lands on “5” 2 out of 4 times. Which statements best explains why the

theoretical probability is different than her experimental probability?

A. They most likely differ because
1

6

2

4
have different denominators.

B. They most likely because of the kind of dice is used.

C. They most likely differ because the dice had “5” on 3 sides.

D. They most likely differ because the sample size is too small.

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