Theoretical Probability

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%

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%

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.

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 following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?

• 2/18

• 1/9

• 2/20

• 1/10

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a yellow candy, not replacing it, then selecting a green candy?

• 1/5

• 3/19

• 3/95

• 12/380