Roulette: A Nevada roulette wheel has 38 pockets. Eighteen of them are red, eighteen are black, and two are green. Each time the wheel is spun, a ball lands in one of the pockets, and each pocket is equally likely.

(a) What is the probability that the ball lands in a red pocket? Round your answer to four decimal places.

The probability that the ball lands in a red pocket is

In a Nevada roulette wheel, there are 38 pockets in total, which are distributed as follows:

- 18 red pockets,
- 18 black pockets,
- 2 green pockets.

Since the ball is equally likely to land in any of the pockets, the probability that the ball lands in a red pocket is given by:

\[
P(\text{Red}) = \frac{\text{Number of red pockets}}{\text{Total number of pockets}} = \frac{18}{38}
\]

Now, calculate the probability:

\[
P(\text{Red}) = \frac{18}{38} = 0.4737
\]

So, the probability that the ball lands in a red pocket is **0.4737** (rounded to four decimal places).

---

Would you like further details on this calculation or have any other questions? 

Here are some related questions to expand on this topic:

1. What is the probability that the ball lands in a black pocket?
2. What is the probability that the ball lands in a green pocket?
3. If the ball is spun 10 times, how many times would you expect it to land in a red pocket?
4. What is the probability of the ball not landing in a red pocket?
5. How does the probability change if one of the green pockets is removed?

**Tip**: The sum of all probabilities in a sample space must always equal 1, which can help check if your calculations are correct.

Roulette: A Nevada roulette wheel has 38 pockets. Eighteen of them are red, eighteen are black, and two are green. Each time the wheel is spun, a ball lands in one of the pockets, and each pocket is equally likely. (a) What is the probability that the ball lands in a red pocket? Round your answer to four decimal places. The probability that the ball lands in a red pocket is

Learn how to calculate the probability that a ball lands in a red pocket on a Nevada roulette wheel. This problem covers key probability concepts, using the formula P(Event) = Number of favorable outcomes / Total number of outcomes. Suitable for students in 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