Certainly! Let's break down the problem step-by-step.
1. Understanding Probability and Total Number of Players:
- The total number of players buying and playing the game is 1,000,000.
- The probability of any one person completing the game with a perfect score is given as [tex]\(\frac{1}{500}\)[/tex].
2. Converting the Probability:
- To make calculations easier, we convert the fraction [tex]\(\frac{1}{500}\)[/tex] into a decimal. [tex]\(\frac{1}{500} = 0.002\)[/tex].
3. Calculating the Expected Number of Perfect Scores:
- The expected number of players achieving a perfect score can be calculated by multiplying the total number of players by the probability of achieving a perfect score.
- This means we multiply 1,000,000 (the total number of players) by 0.002 (the probability of a perfect score).
4. Performing the Multiplication:
[tex]\( \text{Expected number of players with a perfect score} = 1,000,000 \times 0.002 = 2,000 \)[/tex].
Thus, the number of players who are expected to complete the game with a perfect score is [tex]\(\boxed{2000}\)[/tex].
