Vocabulary: experimental probability, law of large numbers, outcome, probability,sample space, theoretical probability, trialPrior Knowledge Question (Do this BEFORE using the Gizmo.)Carlos, Margaret, and James are playing a board game with a spinner. The spinner goes from 1to 6. They start by spinning to see who will go first. (Highest number will go first.)1. First, Carlos spins a 3. How likely do you think it is that Margaret will get a higher number?2. Next, Margaret spins a 5. How likely do you think it is that James will get a higher number?

Prior Knowledge Question (Do this BEFORE using the Gizmo.)Carlos, Margaret, and James are playing a board game with a spinner. The spinner goes from 1to 6. They start by spinning to see who will go first. (Highest number will go first.)1. First, Carlos spins a 3. How likely do you think it is that Margaret will get a higher number?2. Next, Margaret spins a 5. How likely do you think it is that James will get a higher number?

To begin, check that the Number of spinners is 1, Sections is 6, Number is 2, and thesign is chosen. In this game, a win (a favorable outcome) occurs if the spinner lands on 2.How likely do you think it is that a player will win the game? Explain.2. On the EXPERIMENTAL tab, click Run 1 trial. What was the outcome?3. Click Clear. Then, click Run 10 trials. How many trials were favorable?4. Click Run 10 trials 5 more times so there are a total of 60 trials. How many favorableoutcomes did you get out of 60 trials?

o begin, check that the Number of spinners is 1, Sections is 6, Number is 2, and thesign is chosen. In this game, a win (a favorable outcome) occurs if the spinner lands on 2.How likely do you think it is that a player will win the game? Explain

A spinner with 5 equally sized slices has 3 red slices, 1 yellow slice, and 1 blue slice. Rachel spun the dial 500 times and got the following results.Outcome Red Yellow BlueNumber of Spins 319 102 79Answer the following. Round your answers to the nearest thousandths.(a)From Rachel's results, compute the experimental probability of landing on yellow.(b)Assuming that the spinner is fair, compute the theoretical probability of landing on yellow.(c)Assuming that the spinner is fair, choose the statement below that is true.

Kaitlin is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random.This game is this: Kaitlin spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $11 if the spinner stops on 5 or 6.(If necessary, consult a list of formulas.)(a) Find the expected value of playing the game.dollars(b) What can Kaitlin expect in the long run, after playing the game many times?Kaitlin can expect to gain money.Shecanexpecttowindollarsperspin.Kaitlin can expect to lose money.Shecanexpecttolosedollarsperspin.Kaitlin can expect to break even (neither gain nor lose money).