Bronwyn used the spinner pictured below and recorded his results. He spun it 10 times and tallied up how many times he landed on each letter. C - 2 times L - 3 times E - 1 time A - 2 times N - 2 times His experimental probability of landing on the letter L is 310 . Part 1: What is the theoretical probability of landing on the letter L if the spinner is spun 10 times?

3 answers

To find the theoretical probability of landing on the letter L, we need to determine the total number of possible outcomes when the spinner is spun 10 times.

The spinner has a total of 5 letters, so the total number of possible outcomes when spinning the spinner 10 times is 5^10 = 9765625.

The theoretical probability of landing on the letter L is the number of ways to land on L divided by the total number of possible outcomes. In this case, the number of ways to land on L is 3 (as given in the information provided).

Therefore, the theoretical probability of landing on the letter L when spinning the spinner 10 times is 3/9765625 or approximately 0.000000307.
nope
I apologize for the error in my previous response. Let's correct it.

The theoretical probability of landing on the letter L when spinning the spinner 10 times can be calculated by taking the total number of sections on the spinner that have the letter L and dividing it by the total number of sections on the spinner.

The spinner has 5 letters in total, and the letter L appears on 1 section out of the 5 sections on the spinner.

Therefore, the theoretical probability of landing on the letter L when spinning the spinner 10 times is 1/5 or 0.2.