Question

select the correct answer. a person playing a game of chance has a 0.20 probability of winning. if the person plays the game 20 times and wins half of that number of times, what is the difference between the theoretical probability and the experimental probability of that person winning?

a. 0.50
b. 0.75
c. 0.25
d. 0.30

Explanation:

Step1: Calculate experimental probability

The person plays 20 times and wins half of 20 times, so wins 10 times. Experimental probability $P_{e}=\frac{\text{Number of wins}}{\text{Total number of trials}}=\frac{10}{20} = 0.5$.

Step2: Identify theoretical probability

The theoretical probability $P_{t}=0.20$.

Step3: Calculate the difference

The difference $d = P_{e}-P_{t}=0.5 - 0.2=0.3$.

Answer:

D. 0.30