Experimental and Theoretical Probability

A teacher prepared a prize box for her students during a quiz bee. If a student answers a question correctly, he will pick a prize inside the box. The prize box contains candies of different flavors. Ten of the candies are strawberry-flavored, twelve are mango-flavored, and eight are mint-flavored. What is the probability of picking a mint-flavored candy?

Which of the following situations illustrate theoritical probability and which is experimental probabiliy?

• Situastions I and II both illustrate experimental probability

• Situation I illustrate experimental probability and situation II illustrate theoretical probability.

• Situation I and II both illustrate theoritical probability.

• Situation I illustrate theoritical probability and situation II illustrate experimental probability.

Isidro flips a fair coin 40 times. How many times can he expect heads to appear?

• 4

• 10

• 15

• 20

Scarlett selects a card at random from a deck that contains 18 red, 12 yellow, and 20 blue cards. What is the probability that she does not select a red card?

• 13/25

• 16/25

• 18/25

• 24/25

A 7th grade class rolls a number cube 50 times. The number cube has sides labeled 1 through 6. The table shows the results. Find the experimental probability for​ "roll a number greater than 4​."

• 60%

• 20%

• 40%

• 80%

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

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

• 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 getting no prize is 0.65.

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

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

• The observed probability model matches the theoretical probability model.

Yesica has a bag containing colored beads. Her classmates take turns selecting one bead from the bag without looking, recording the color in the table, and replacing the bead. What is the experimental probability that a red bead is selected?

What is the experimental probability of P(G,G)? Write your answer as a percent rounded to the nearest tenth. (example: 13.5)

Mathematical Equivalence

ON

What is the experimental probability of P(R,A)? Write your answer as a percent rounded to the nearest tenth. (example: 13.5)

Mathematical Equivalence

ON

What is the experimental probability of P(G,G)? Write your answer as a percent rounded to the nearest tenth. (example: 13.5)

Mathematical Equivalence

ON