A spinner with 10 equally sized slices has 4 yellow slices, 4 red slices, and 2 blue slices. Amy spun the dial 1000 times and got the following results.Outcome Yellow Red BlueNumber of Spins 408 415 177Answer the following. Round your answers to the nearest thousandths.(a)From Amy's results, compute the experimental probability of landing on blue.(b)Assuming that the spinner is fair, compute the theoretical probability of landing on blue.(c)Assuming that the spinner is fair, choose the statement below that is true.
Question
A spinner with 10 equally sized slices has 4 yellow slices, 4 red slices, and 2 blue slices. Amy spun the dial 1000 times and got the following results.Outcome Yellow Red BlueNumber of Spins 408 415 177Answer the following. Round your answers to the nearest thousandths.(a)From Amy's results, compute the experimental probability of landing on blue.(b)Assuming that the spinner is fair, compute the theoretical probability of landing on blue.(c)Assuming that the spinner is fair, choose the statement below that is true.
Solution
(a) The experimental probability of landing on blue is calculated by dividing the number of times the spinner landed on blue by the total number of spins. In this case, it would be 177 (number of blue spins) divided by 1000 (total spins). So, the experimental probability is 177/1000 = 0.177.
(b) The theoretical probability of landing on blue is calculated by dividing the number of blue slices by the total number of slices. In this case, it would be 2 (number of blue slices) divided by 10 (total slices). So, the theoretical probability is 2/10 = 0.2.
(c) The statement that is true assuming the spinner is fair would be: "The theoretical probability and the experimental probability are close but not exactly the same due to the randomness of each spin."
Similar Questions
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