To determine the number of players who will complete the game with a perfect score, we can use the information about the probability and the total number of players. Let's break down the steps.
1. Identify the total number of players:
The total number of people who buy and play the game is [tex]\( 1,000,000 \)[/tex].
2. Determine the probability of achieving a perfect score:
The probability of a player completing the game with a perfect score is [tex]\( \frac{1}{500} \)[/tex].
3. Calculate the expected number of players with a perfect score:
To find this, multiply the total number of players by the probability of getting a perfect score:
[tex]\[
\text{Expected number of players with a perfect score} = \text{Total number of players} \times \text{Probability of perfect score}
\][/tex]
Substituting the given values:
[tex]\[
\text{Expected number of players with a perfect score} = 1,000,000 \times \frac{1}{500}
\][/tex]
4. Simplify the computation:
[tex]\[
1,000,000 \times \frac{1}{500} = 1,000,000 \div 500 = 2,000
\][/tex]
So, the expected number of players who will complete the game with a perfect score is:
[tex]\[
\boxed{2000}
\][/tex]
