Question

A spinner has 12 equal sectors with different letters for each sector, as shown below: A spinner with 12 equal sectors is shown. The sectors are labeled B, Y, G, C, P, O, V, M, A, D, E, and R. Hamlet spins the spinner 5 times, and it stops at the letter B 4 times. If he spins the spinner a 6th time, what is the theoretical probability that this time it will stop at the letter B? 1 over 12 1 over 10 1 over 5 1 over 4

Answer 1

The answer is 1 over 12

Answer 2

The theoretical probability that in the 6th time the spinner will stop at the letter B is:

1 over 12.

Explanation:

It is given that:

A spinner with 12 are labeled B, Y, G, C, P, O, V, M, A, D, E, and R.

Hamlet spins the spinner 5 times, and it stops at the letter B 4 times.

Now, we are asked to find the probability that the spinner will stop at the letter B for the 6th time.

Now, we know that each of the outcome is independent of the other.

Since, the outcome for the first 4 spins are fixed.

Hence, the probability of first four spin is: 1

Hence, the probability that the spinner will stop at letter B this time is:

1 over 12.

( Since, there are a total of 12 outcomes possible while spinning a spinner and only in one sector there is a letter B)