Theoretical Experimental and Compound Probability

Fill in the blank:

__________________ probability is defined as "what math says should happen".

• Theoretical

• Independent

• Dependent

• Experimental

What is the theoretical probability of the spinner landing on a 5?

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Jessie spun the spinner 15 times and landed on the light pink section, "Q," 4 times. Which of the following statement is true?

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The probability of compound events is found by finding the _______________ of the two events.

During a festival game, children attempt to wind a prize by drawing a token from a bag. The tokens are labeled Large Prize, Small Prize, or No Prize. After a token is drawn, it is returned to the bag. The table on the left shows the three types of tokens and the number of each token in the bag.

Lia observes the game and keeps track of 20 consecutive draws from the bag. She records her results in the table shown on the right.

Which statements about the game are true? Drag each statement to the True or False category.

Groups:

(a) True

,

(b) False

• From Lia's observed frequencies, the probability of getting no prize is 0.65.

• The theoretical probability of winning a small prize is 0.10.

• Based on the theoretical probability, it is more likely to win a small prize than a large prize.

• From Lia's observed frequencies, the probability of winning a large or small prize is 0.7.

• The observed probability model matches the theoretical probability model.

• The theoretical probability of winning a large prize is 0.125.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?  P(tails AND 3) =

• 1/12

• 1/4

• 1/8

• 1/2

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble? P(blue AND red)

If the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?

• The experimental probability of landing on 11 is 1/8 while the theoretical probability of landing on 11 is 3/10

• The theoretical probability of landing on 11 is 12.5% while the experimental probability of landing on 11 is 30%

• The experimental probability of landing on 11 is less than the theoretical probability of landing on 11

• The theoretical probability of landing on 11 is equal to the experimental probability of landing on 11

What is the probability of drawing a blue color and a number 4?

• 2/5

• 1/6

• 3/15

• 1/15

What is the probability of rolling a 3 and spinning a red?

• 1/6

• 1/4

• 1/10

• 1/24