Compare Theoretical to Experimental Probability

How do the results compare (the theoretical compared to the experimental)?

• the theoretical probability is equal to the experimental probability

• the theoretical probability is less than the experimental probability

• the theoretical probability is greater than the experimental probability

What is the experimental probability of landing on a 4?

• 40/200 = 1/5

• 37/200

• 4/200 = 1/50

• 4/5

How do the results compare (the theoretical compared to the experimental)?

• the theoretical probability is equal to the experimental probability

• the theoretical probability is less than the experimental probability

• the theoretical probability is greater than the experimental probability

The spinner was spun 200 times. The results are on the bar graph below.

What is the theoretical probability of spinning and landing on a 4?

• 40/200 = 1/5

• 37/200

• 4/200 = 1/50

• 4/5

Comparing the experimental probability of rolling a 3 on a die (after 100 rolls, a 3 was rolled 18 times) to the theoretical probability, which of the following is true?

• The experimental probability is higher.

• The theoretical probability is higher.

• Both probabilities are equal.

• There is not enough information to determine.

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 greater than the experimental probability

• The experimental probability of landing on 11 is greater 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

Craig has a six-sided number cube. He rolls it 250 times and records data in this table. Which number has a larger theoretical probability than experimental probability?

• 1

• 2

• 3

• 4

• 5

If a bag contains 10 white, 5 black, and 15 red balls, and a ball is drawn 100 times with replacement, with 60 times being a red ball, what does this tell us about comparing the experimental probability of drawing a red ball to the theoretical probability?

• The experimental probability is equal to the theoretical probability.

• The experimental probability is higher than the theoretical probability.

• The theoretical probability is higher than the experimental probability.

• There is not enough information to compare probabilities.

The theoretical probability is ​ ​ ​ (a)  

The experimental probability is ​ ​ (b)  

The experimental probability is ​ (c)   the theoretical probability.

• 120/200

• 3/5

• equal to

• 37%

• much smaller than

• much larger than

• close to

• 120%

• 37/200

• 1/5

Comparing the experimental probability of rolling a 3 on a die (after 100 rolls, it came up 18 times) to the theoretical probability, which of the following is true?

• The experimental probability is higher.

• The theoretical probability is higher.

• Both probabilities are equal.

• Cannot be determined without more information.