Ask a New Question
Menu

A contest organizer simulated a raffle using 500 trials and recorded the grade level of the winner each time. The results are shown in the table.

Based on the data from the simulation, what is the probability that the winner will be from the Yellow team?

Students: Blue Green Red Yellow Orange
Frequency: 118 112 90 85 95

A) 0.143
B) 0.170
C) 0.224
D) 0.850

1 answer

To find the probability that the winner will be from the Yellow team, we need to calculate the ratio of the number of times a student from the Yellow team won to the total number of trials.

From the data:

  • Number of winners from Yellow team = 85
  • Total number of trials = 500

The probability \( P \) that the winner will be from the Yellow team is calculated as follows:

\[ P(\text{Yellow}) = \frac{\text{Number of winners from Yellow}}{\text{Total number of trials}} = \frac{85}{500} \]

Now, let's simplify this fraction:

\[ P(\text{Yellow}) = 0.17 \]

This corresponds to:

B) 0.170

So, the probability that the winner will be from the Yellow team is 0.170.