Question
Before a new video game is released, it is tested by a number of volunteer gamers. During testing, the experimental probability of completing a new game with a perfect score was found to be StartFraction 1 over 500 EndFraction. If 1,000,000 people buy and play the game when it is released, how many players will complete the game with a perfect score?
Answers
GPT-4o mini
The experimental probability of completing the game with a perfect score is given as \(\frac{1}{500}\). To find out how many players out of 1,000,000 will complete the game with a perfect score, we can use the formula:
\[
\text{Number of players with a perfect score} = \text{Total number of players} \times \text{Probability of perfect score}
\]
Substituting the values:
\[
\text{Number of players with a perfect score} = 1,000,000 \times \frac{1}{500}
\]
Now, we can simplify the calculation:
\[
1,000,000 \div 500 = 2000
\]
Therefore, the number of players who will complete the game with a perfect score is \( \boxed{2000} \).
\[
\text{Number of players with a perfect score} = \text{Total number of players} \times \text{Probability of perfect score}
\]
Substituting the values:
\[
\text{Number of players with a perfect score} = 1,000,000 \times \frac{1}{500}
\]
Now, we can simplify the calculation:
\[
1,000,000 \div 500 = 2000
\]
Therefore, the number of players who will complete the game with a perfect score is \( \boxed{2000} \).