Question

Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z. If the pointer landson any letter in the phrase "COUNTY FAIR," the contestant wins a prize.

part A
What is the probability that Luca will win wheel of letters?is your answer a theoretical probability or an experimental probability? explain.

Part B
Of the first 52 contestants, exactly 12 contestants win the game.how does the actual number of winners compared to the expected number of winners? what needs to happen for the experimental probability to approach the theoretical probability? explain

Answer 1

Explanation:

There are 6 qualifying letters, out of 26.

Thus, the probability that Luca will win through one wheel spin is

6/26, or 3/13, or 0.23.

This is a theoretical probability, since it could be calculated with the same result over and over. An experimental probability, on the other hand, would be the result if the probability stemmed from experimenting: making a list of all 26 letters and then spinning the wheel over and over again, perhaps 100 times, and recording how many times each of the 26 letters shows up.