https://file.aiquickdraw.com/mathbot/file/1726024145805s06f7oxx.jpg

Let's analyze the given data and solve the problem step by step.

### Data:
- **Team Amazing's scores:** 95, 98, 85, 76, 63, 62, 87, 85, 94, 91.
- **Team Incredible's scores:** 52, 53, 55, 61, 62, 34, 57, 57, 78, 89.

### Part (a): Probability that a randomly selected player from **Team Amazing** has a score greater than 70.

We need to count how many players from Team Amazing have a score greater than 70 and then divide that by the total number of players in the team.

- Players with scores greater than 70 in **Team Amazing**: 95, 98, 85, 76, 87, 85, 94, 91.
  - Number of players with scores > 70: 8
  - Total number of players in Team Amazing: 10

So, the probability is:

\[
P(\text{score} > 70 \text{ from Team Amazing}) = \frac{8}{10} = \frac{4}{5}
\]

### Part (b): Compare the probability for **Team Amazing** and **Team Incredible** for scores greater than 70.

- Players with scores greater than 70 in **Team Incredible**: 78, 89.
  - Number of players with scores > 70: 2
  - Total number of players in Team Incredible: 10

So, the probability for **Team Incredible** is:

\[
P(\text{score} > 70 \text{ from Team Incredible}) = \frac{2}{10} = \frac{1}{5}
\]

### Conclusion:
- Probability for Team Amazing: \( \frac{4}{5} \)
- Probability for Team Incredible: \( \frac{1}{5} \)

Thus, **Team Amazing** has a higher probability of selecting a player with a score greater than 70.

---

Do you want further details or have any questions?

Here are 5 related questions you might find interesting:
1. What is the probability that a randomly selected player from Team Amazing has a score less than 70?
2. What is the probability that a randomly selected player from both teams has a score greater than 80?
3. How would the probability for Team Incredible change if one more player had a score greater than 70?
4. Can you calculate the average score for each team based on the given data?
5. What is the combined probability of selecting a player with a score greater than 70 from either team?

**Tip:** When calculating probabilities, always ensure the numerator (favorable outcomes) and denominator (total outcomes) are accurately counted to avoid mistakes.

A basketball coach is analyzing the scores of players on his team, Team Amazing, and an opposing team. Calculate the probability that a randomly selected player from Team Amazing has a score greater than 70. Compare the probability of selecting a player with a score greater than 70 from Team Amazing to that of selecting a player with a score greater than 70 from Team Incredible. Which team has a higher probability?

This problem involves calculating the probability of players scoring greater than 70 from two basketball teams: Team Amazing and Team Incredible. The solution includes using the probability formula to compare the two teams' outcomes. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation