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:
Substituting the given values:
Now, we convert this fraction to a percentage:
Rounding to the nearest whole number:
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:
- What is the probability of selecting an apple chew as a percentage?
- What is the probability of selecting a cherry chew as a percentage?
- If Harper performs the experiment 100 times, how many times would you expect her to pick a lime chew?
- What is the probability of not selecting an apple chew?
- 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
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