A spinn 10 equally sized slices has 4 yellow slices, 3 red slices, and 3 blue slices. Yolanda spun the dial 50 times and got the following result
Outcome
Number of Spins
Yellow Red
21
11
Blue
18
Answer the following. Round your answers to the nearest thousandths.

compute the experimental probability of landing on red or yellow?

compute the theoretical probability of landing on red or yellow?

choose statement below that is true.

A. the experimental and theoretical probabilities must always be equal?

B. as the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.?

C. As the number of spins increases, we expect both probabilities to become farther apart?

Respuesta :

Using the probability concept, we have that:

  • There is a 0.64 = 64% experimental probability of landing on red or yellow.
  • There is a 0.7 = 70% theoretical probability of landing on red or yellow.
  • The correct option is: B. as the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

An experimental probability is calculated after the trials. For this problem, out of 50 spins, 21 + 11 = 32 resulted in yellow or red, hence:

p = 32/50 = 0.64.

There is a 0.64 = 64% experimental probability of landing on red or yellow.

The theoretical probability is calculated before the trials. For this problem, we have that out of 10 slices, 7 are yellow or red, hence:

p = 7/10 = 0.7.

There is a 0.7 = 70% theoretical probability of landing on red or yellow.

As the number of trials increase, the experimental probability gets closer to the theoretical probability, hence the correct option is given by:

B. as the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

More can be learned about probabilities at https://brainly.com/question/14398287

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