Question

A sports journalist ran a simulation to determine which Olympic athlete would win the 100-meter sprint. She ran the simulation 200 times and recorded the results in the following table.

Athlete: A B C D
Number of Wins: 59 58 45 38

Based on the data from the simulation, what is the probability of athlete A or D winning the event?

A) 0.380
B) 0.415
C) 0.485
D) 0.585

Answer 1

To find the probability of either athlete A or D winning the event based on the simulation results, we first need to calculate the total number of wins by athletes A and D.

From the table provided:
- Athlete A won 59 times.
- Athlete D won 38 times.

Now, we can calculate the total number of wins for A and D:
\[
\text{Total Wins (A and D)} = \text{Wins by A} + \text{Wins by D} = 59 + 38 = 97
\]

Next, we find the total number of simulations:
\[
\text{Total Simulations} = 200
\]

Now we can calculate the probability of either athlete A or D winning:
\[
\text{Probability (A or D)} = \frac{\text{Total Wins (A and D)}}{\text{Total Simulations}} = \frac{97}{200}
\]

Calculating this gives:
\[
\frac{97}{200} = 0.485
\]

Thus, the probability of athlete A or D winning the event is **0.485**.

The correct answer is **C) 0.485**.