Caleb has a bag that contains orange chews, cherry chews, and peach chews. He performs an experiment. Caleb randomly removes a chew from the bag, records the result, and returns the chew to the bag. Caleb performs the experiment 20 times. The results are shown below:
An orange chew was selected 15 times.
A cherry chew was selected 3 times.
A peach chew was selected 2 times.

Based on these results, express the probability that the next chew Caleb removes from the bag will be cherry chew as a decimal to the nearest hundredth.

To find the probability that Caleb will select a cherry chew in his next attempt, we use the formula for experimental probability:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}
\]

In this scenario:
- The number of times a cherry chew was selected is \( 3 \).
- The total number of trials (all selections) is \( 20 \).

Substitute these values into the formula:

\[
\text{Probability of selecting a cherry chew} = \frac{3}{20} = 0.15
\]

So, the probability that Caleb will select a cherry chew in his next draw is **0.15**.

Would you like more details on this solution or have any questions?

Here are 5 related questions to explore further:
1. How would the probability change if Caleb selected a cherry chew 5 times instead?
2. What is the probability of selecting an orange chew based on the given data?
3. How can experimental probability differ from theoretical probability?
4. If Caleb performed 100 trials and the relative frequencies stayed the same, how many times would he likely select a cherry chew?
5. How would you calculate the probability if the chews were not returned to the bag after each draw?

**Tip:** Experimental probability becomes more accurate as the number of trials increases, as it better approximates the true probability over time.

Caleb has a bag that contains orange chews, cherry chews, and peach chews. He performs an experiment. Caleb randomly removes a chew from the bag, records the result, and returns the chew to the bag. Caleb performs the experiment 20 times. The results are shown below: An orange chew was selected 15 times. A cherry chew was selected 3 times. A peach chew was selected 2 times. Based on these results, express the probability that the next chew Caleb removes from the bag will be cherry chew as a decimal to the nearest hundredth.

Calculate the probability of selecting a cherry chew from a bag based on Caleb's experiment. Using 20 trials, this problem teaches students how to apply the formula for experimental probability, with a focus on basic probability concepts. 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