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

• See below

Explanation:

"COUNTY FAIR" involves 10 letters

Part A

The probability of winning is 10 out of 26:

• P = 10/26 = 5/13

Part B

Expected number of winners with 52 contestants:

• 52*5/13 = 20

The experiment result is almost twice less (12 vs 20).

In order to change the results of experimental probability some of the letters may need swapped, (probably the letters are in alphabet order) but for this we need more data.