Theoretical and Experimental Probability

You pick a marble from this bag.
What is the probability you will choose either a black or white marble?

• 3/5

• 9/100

• 1/10

• 2/5

What is the probability of spinning red?

• 0

• 5/12

• 1/2

• 3/4

Determine whether the event is impossible, unlikely, equally likely, likely, or certain. You flip a fair coin and the coin will land heads up.

• impossible

• unlikely

• as likely as not

• likely

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.

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

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

• 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.

• The observed probability model matches the theoretical probability model.

Vy is shopping for a car. It comes in red, blue, or silver. She can also choose a 2-door and 4-door version along with a manual or automatic transmission. What is the theoretical probability that Vy will pick 4-door car, automatic transmission and it being red or blue?

Mathematical Equivalence

ON

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 flipping a coin and getting tails?

• 1/2

• 1/3

• 1/4

• Never, Tails never fails.

The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a "M"?

• 8/121

• 4/11

• 2/11

• 4/121

A spinner is marked with four sections and was spun 100 times. Is this experimental or theoretical probability?

• experimental

• theoretical

A bag has 4 green marbles, 3 red, 2 blue and 1 yellow. What is the theoretical probability of pulling a red?

• 3/10

• 3/6

• 1/9

• 1/3