A fair 6-sided die is rolled 360 times. What is a reasonable prediction for the number of times the event of landing on an odd number will occur?

 60
 180
 240
 320

A fair 6-sided die has three odd numbers: 1, 3, and 5. Since half of the faces are odd (3 out of 6), the probability of rolling an odd number is:

\[
P(\text{odd number}) = \frac{3}{6} = \frac{1}{2}
\]

Now, if the die is rolled 360 times, the expected number of times an odd number will appear is:

\[
\text{Expected number of odd rolls} = P(\text{odd number}) \times 360 = \frac{1}{2} \times 360 = 180
\]

Thus, a reasonable prediction for the number of times the die will land on an odd number is **180**.

**Answer: 180**

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:
1. What is the probability of rolling a 1 or 2 on a 6-sided die?
2. If you roll the die 600 times, how many times would you expect to roll a number greater than 4?
3. What is the expected value of a roll of a fair 6-sided die?
4. If you roll two dice, what is the probability of getting two odd numbers?
5. What is the standard deviation of the number of odd rolls in 360 rolls?

**Tip:** When dealing with probability, multiplying the probability by the number of trials gives you the expected count for that event.

A fair 6-sided die is rolled 360 times. What is a reasonable prediction for the number of times the event of landing on an odd number will occur?

Understand how to predict the number of times a fair 6-sided die will land on an odd number when rolled 360 times. Explore probability concepts, including calculating the expected value and applying the law of large numbers. This problem is ideal 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