Solve equation problem

Question

Axpinner with S eellow slites, and I blue slice, Laun the dul 150 times and got the following results. Outcome Number of Spus 59 Fland Yellow 56 Blue 35 Answer the following. Round your answers to the nearest thousandths. (a) From. Latoya's results, compute the experimental probability of landing on yellow. の X (b) Assuming that the spinner is fair, compute the theoretical probability of landing on yello (c) Assuming that the spinner is fair, choose the statement below that is true. As the number of spins increases, we expect the experimental and theoretical probabilities to became closer, though they might not be equal. The experimental and theoretical probabilities must always be equal As the number of spins increases, we expect the experimental and theoretical prob become farther

Answer 1

Hey! So the formatting on the question is a little jumbled, but I think I can get the important info out of it. It looks like there's a spinner with 3 sections on it, one BLUE section, one YELLOW section, and a third section I can't seem to find the color for, but let's call it RED.

a. For experimental probability you just take the results. However many spins landed on Yellow over the total number of spins. I can't tell if the number of yellow spins is 59 or 56. For 59, it would be 59/150 = .393 or 39.333% If it's 56, it would be 56/150 = .373 or 37.333%

b. For theoretical probability, you look at the spinner, not the actual results. If there are three sections that are all the same size, they all have a 1/3 chance, that is the theoretical probability.

c. As you do more trials, the times landing on each of the three sections will begin to converge, so even if it lands on one color a lot at first, eventually things should even out and the theoretical and experimental probabilities will get closer and closer together. So it would be the first statement: As the number of spins increases, we expect the experimental and theoretical probabilities to became closer, though they might not be equal.