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?

1 answer

The theoretical probability of landing on the letter L can be calculated by dividing the number of outcomes in which L appears by the total number of possible outcomes.

In this case, there are 26 letters in the alphabet, so each letter has a 1/26 chance of being landed on in a single spin. Therefore, the theoretical probability of landing on the letter L is 1/26.

If the spinner is spun 10 times, the theoretical probability of landing on the letter L in each spin remains the same, so the theoretical probability of landing on the letter L in 10 spins is (1/26) * 10 = 10/26 = 5/13.

Therefore, the theoretical probability of landing on the letter L if the spinner is spun 10 times is 5/13.