Experimental Versus Theoretical Probability

• A
• B
• C
• D

Which statement below is true?

• The theoretical probability of rolling a 3 is greater than the experimental probability of rolling a 3

• The theoretical probability of rolling a 3 is less than the experimental probability of rolling a 3

• The theoretical probability of rolling a 3 is equal to the experimental probability of rolling a 3

• You cannot determine the theoretical probability.

Morgan rolled a number cube 20 times.  The cube landed on the number 6 five times.  What is the experimental probability that Morgan will roll a number 6 the next time she rolls the number cube?

• 3/10

• 1/4

• 1/6

• 1/5

Gabby conducted an experiment with a spinner.  Based on this data, how many times can she expect to spin a 2 in the next 25 spins?

• 24

• 6

• 12

• 14

Several students conducted a simulation where a standard coin was tossed several times and the results were recorded in the table. Which table shows an experimental probability of landing on tails that is closest to the theoretical probability of landing on tails?

• A

• B

• C

• D

When conducting an experiment, the MORE you attempt the experiment the​ (a)   your experimental probability and theoretical probability become.

• closer

• further

If you want your experimental probability to be as close as possible to your theoretical probability, what do you need to do?

• Do 10 trials

• Do 100 trials

• Do 1000 trials

• Do 10000 trials

A spinner has 4 equal sections: Blue, Green, Red, and Yellow. You spin the spinner 500 times and land on red 75 times. What comparison can you make in regards to the experimental probability of red versus the theoretical probability of red?

• The theoretical and experimental probabilities are equal

• The theoretical probability is less than the experimental probability

• The theoretical probability is more than the experimental probability

• You need more information to find the theoretical probability.

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

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

• 1/8

• 7/8

• 1

• 7