A spinner with 5 equally sized slices has 3 red slices, 1 yellow slice, and 1 blue slice. Leila spun the dial 100 times and got the following results.Outcome Red Yellow BlueNumber of Spins 64 18 18Answer the following. Round your answers to the nearest thousandths.(a)From Leila'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 5 equally sized slices has 3 red slices, 1 yellow slice, and 1 blue slice. Leila spun the dial 100 times and got the following results.Outcome Red Yellow BlueNumber of Spins 64 18 18Answer the following. Round your answers to the nearest thousandths.(a)From Leila'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 landed on blue 18 times out of 100 spins. So, the experimental probability is 18/100 = 0.18.
(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, there is 1 blue slice out of 5 total slices. So, the theoretical probability is 1/5 = 0.2.
(c) The statement that is true assuming that the spinner is fair is: "The theoretical probability and experimental probability will be closer with a larger number of spins." This is because as the number of spins increases, the experimental probability will get closer to the theoretical probability due to the law of large numbers.
Similar Questions
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