Theoretical and Experimental Probability

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.

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?

Tammy rolled a die five times. Here is what she got on her five rolls: 1, 3, 3, 4, & 4 Find the experimental probability: P(3) =

• 3/5

• 1/6

• 2/5

• 1/3

There are 4 jacks in a standard deck of 52 playing cards. If Peyton selects a card at random, what is the probability that it will be a jack?

• 1/13

• 1/52

• 1/2

• 12/13

A standard 6-sided die is tossed 90 times. The results are recorded in the table. What number had an experimental probability that matched its theoretical probability?

• 1

• 2

• 3

• 4

• 5

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 small prize is 0.10.

• The observed probability model matches the theoretical probability model.

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

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

• 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.

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

Which of the following describes experimental probability?

• Perform an experiment to determine the probability

• Determining the expected probability of an event

• Perform a simulation and count the number of possible outcomes

• Use trials to count the number of desired outcomes

Dylan made 15 out of 35 free throws.

What's his experimental probability as a simplified fraction?

• 3/7

• 15/35

• 1/2

• 5/7

Kate spun the spinner 75 times and landed on "3" thirty times.

What is the experimental probability as a percentage?

• 20%

• 30%

• 40%

• 50%