Math Problem Statement

Harper has a bag that contains apple chews, cherry chews, and lime chews. She performs an experiment. Harper randomly removes a chew from the bag, records the result, and returns the chew to the bag. Harper performs the experiment 38 times. The results are shown below: An apple chew was selected 22 times. A cherry chew was selected 6 times. A lime chew was selected 10 times.

Based on these results, express the probability that the next chew Harper removes from the bag will be lime chew as a percent to the nearest whole number

Solution

To find the probability that Harper selects a lime chew, we use the formula for experimental probability:

P(lime chew)=number of lime chews selectedtotal trialsP(\text{lime chew}) = \frac{\text{number of lime chews selected}}{\text{total trials}}

Substituting the given values:

P(lime chew)=1038P(\text{lime chew}) = \frac{10}{38}

Now, we convert this fraction to a percentage:

P(lime chew)×100=(1038×100)P(\text{lime chew}) \times 100 = \left(\frac{10}{38} \times 100\right)

=(100038)26.32= \left(\frac{1000}{38}\right) \approx 26.32

Rounding to the nearest whole number:

26%26\%

Final Answer:

The probability that the next chew will be a lime chew is 26%.

Would you like a breakdown of the calculations or another example?

Related Questions:

  1. What is the probability of selecting an apple chew as a percentage?
  2. What is the probability of selecting a cherry chew as a percentage?
  3. If Harper performs the experiment 100 times, how many times would you expect her to pick a lime chew?
  4. What is the probability of not selecting an apple chew?
  5. How does increasing the total number of trials affect the accuracy of probability predictions?

Tip:

To improve probability accuracy, increase the number of trials—this makes experimental probability closer to theoretical probability.

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Math Problem Analysis

Mathematical Concepts

Probability
Experimental Probability

Formulas

P(lime chew) = (number of lime chews selected) / (total trials)
P(lime chew) × 100 to get percentage

Theorems

Experimental Probability Theorem

Suitable Grade Level

Grades 6-8