Theoretical Probability and Simulations

P(greater than or equal to 2)  the theoretical and experimental probability are so different?  Mark all true statments.

• The experimental probability only matches the theoretical probability in a very small number of trials.

• The spinner may not be a fair spinner. The experimental probability assumes that the spinner is a fair spinner.

• The spinner may not be a fair spinner. The theoretical probability assumes that the spinner is a fair spinner.

• The experimental probability of an event occurring is not guaranteed to match the theoretical​ probability, but with more​ trials, they should get closer.

• If a large number of trials are preformed and the experimental and theoretical probabilities remain very different, it is possible that the spinner may be rigged.

What is the theoretical probability that the pointer will land in a section labeled with the letter A on a given​ spin?

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 relative frequency for​ "roll a number less than 4​."

• 36%

• 16%

• 64%

• 24%

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%

Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times. The difference between the experimental probability and the theoretical probability is?

• 55%

• 5%

• 50%

• 45%

The difference between the experimental probability and the theoretical probability of P(greater than or equal to 2) is?

• 4.5%

• 6.7%

• 10%

• 9.3%

The manager of a restaurant wants to add two new side dishes to the menu. She asked a sample of customers during one of her evening shifts which side dish​ he/she prefers. The table shows the​ customers' responses. What is the experimental probability that a customer prefers a baked potato or asparagus?

• 26%

• 34%

• 40%

• 60%

If the given spinner was spun 300 times, about how many J's would you expect to get?

• 60

• 30

• 40

• 70

Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is yellow is ​P(yellow​)=5/25. How many plastic disks were in the bag?

• 5

• 25

• 30

• Unknown

The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• rolling a six-sided number cube 6 times

• rolling a six-sided number cube 20 times

• spinning a spinner with 4 equal sized sections 4 times

• choosing 1 marble in a bag of 20 different colored marbles