Question

The spinner is spun 45 times. It stops on red 17 times. What is the approximate difference between the experimental probability and theoretical probability of stopping on red?

Answer 1

The approximate difference between the experimental and theoretical probabilities of stopping on red is 0.044.

Step-by-step explanation:

The experimental probability of stopping on red can be found by dividing the number of times the spinner stops on red by the total number of spins. In this case, the experimental probability is calculated as 17/45 = 0.377 (rounded to three decimal places).

The theoretical probability of stopping on red can be found by dividing the number of favorable outcomes by the total number of possible outcomes. Since the spinner has only three possible outcomes, with red being one of them, the theoretical probability is 1/3 = 0.333.

To find the approximate difference between the experimental and theoretical probabilities, we subtract the theoretical probability from the experimental probability. In this case, the approximate difference is 0.377 - 0.333 = 0.044 (rounded to three decimal places). Therefore, the approximate difference between the experimental and theoretical probabilities of stopping on red is 0.044.