Answers and Solutions

Answer

1. Calculating the chances of a member being eliminated by their own team or by others.

Yes, you need to take the total number of members into account when calculating the chances of a member being eliminated by their own team or by others. This is because the probability of an event happening is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the favorable outcome is either being eliminated by your own team or by other teams. The total number of possible outcomes is the total number of students in the class.

To illustrate this, let's consider Team A. There are 60 students in Team A. Out of these, 4 were eliminated by their own team members and 2 were eliminated by Team B members. So, the probability of a Team A member being eliminated by their own team is 4/60 = 1/15. Similarly, the probability of a Team A member being eliminated by another team is 2/60 = 1/30.

2. Formula to calculate the chances of a team member being eliminated by another team member.

Yes, you can use the formula [ΔΜ/Σ/2]Χ100 to calculate the chances of a team member being eliminated by another team member. Here's what each part of the formula means:

• ΔΜ: This is the difference between the number of members eliminated by their own team and the number of members eliminated by other teams.
• Σ: This is the total number of students in the class.
• /2: This is because each elimination involves two teams (the team of the eliminated member and the team of the eliminating member). We are only interested in eliminations caused by other teams, so we divide by 2 to avoid double counting.
• Χ100: This converts the fraction into a percentage.

So, for Team A, the formula would be:

[ΔΜ/Σ/2]Χ100 = [(4 - 2)/60/2]Χ100 = [1/60]Χ100 = 1.67%

Therefore, the probability of a Team A member being eliminated by another team member is 1.67%.

Additional notes:

• This formula assumes that all eliminations are equally likely. In reality, there may be factors that make some eliminations more likely than others (e.g., skill level, strategy).
• This formula only considers eliminations caused by other teams. It does not consider eliminations caused by other factors, such as self-elimination or quitting the game.

I hope this analysis and solution are helpful! Let me know if you have any other questions.