Question

If you repeat this experiment 360 times, how many repetitions do you predict will result in the same letter being spun for both spins?

Answer 1

90

Explanation:

You want to know the number of times in 360 trials that the same letter will appear twice in a row using a fair 4-letter spinner.

Probability

The table shows 4 outcomes of the 16 possible that have the same letter repeated. That's a probability of a repeated letter of 4/16 = 1/4.

Expected number

The expected number of repeated letters in 360 trials is the number of trials times the probability of a repeat:

expected repeats = 360 × 1/4 = 90

You predict there will be 90 repetitions in 360 trials.

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