Experimental and Theoretical Probability

What is the theoretical probability of rolling a P(5) on a six sided die?

• 0

What is the experimental probability of NOT rolling an even number?

• 8

• 0

Jake surveyed the 25 students in his class to determine what their favorite color is. The table shows the results.

Based on the data,out of the 500 students in the school, predict how many like the color red. (Hint: set up 2 proportions and solve for x.)

• 12,500

• 0

• 1,000

• 100

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%

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%

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%

After many​ studies, a researcher finds that the probability a​ word-recognition program correctly interprets a​ hand-written word is 9/10. How many words would the researcher expect the program to interpret correctly out of 40 ​words?

• 40

• 36

• 4

• 32

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%