Math Problem Statement

Damian has a bag that contains pineapple chews, lemon chews, and watermelon chews. He performs an experiment. Damian randomly removes a chew from the bag, records the result, and returns the chew to the bag. Damian performs the experiment 68 times. The results are shown below:

A pineapple chew was selected 39 times.

A lemon chew was selected 24 times.

A watermelon chew was selected 5 times.

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

Solution

To determine the probability that the next chew Damian removes will be a lemon chew, we use the formula for probability:

P(lemon chew)=number of times lemon chew was selectedtotal number of trialsP(\text{lemon chew}) = \frac{\text{number of times lemon chew was selected}}{\text{total number of trials}}

Given:

  • Lemon chews selected = 24
  • Total trials = 68

P(lemon chew)=2468P(\text{lemon chew}) = \frac{24}{68}

Now, we calculate the decimal value:

24680.3529\frac{24}{68} \approx 0.3529

Rounding to the nearest hundredth:

0.350.35

Final Answer:

0.35

Would you like a breakdown of rounding rules or further clarification?

Here are 5 related questions to explore:

  1. What is the probability of selecting a pineapple chew?
  2. What is the probability of selecting a watermelon chew?
  3. What is the probability of NOT selecting a lemon chew?
  4. If Damian performs 100 more trials, how many times would we expect a lemon chew to be selected?
  5. How would the probabilities change if Damian changed the number of chews in the bag?

Tip: The more trials conducted, the more accurate the experimental probability becomes.

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Math Problem Analysis

Mathematical Concepts

Probability
Experimental Probability

Formulas

P(A) = Number of favorable outcomes / Total number of trials

Theorems

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Suitable Grade Level

Grades 6-8