Math Problem Statement
Liam has a bag that contains pineapple chews, cherry chews, and lime chews. He performs an experiment. Liam randomly removes a chew from the bag, records the result, and returns the chew to the bag. Liam performs the experiment 62 times. The results are shown below: A pineapple chew was selected 58 times. A cherry chew was selected 2 times. A lime chew was selected 2 times.
Based on these results, express the probability that the next chew Liam removes from the bag will be cherry chew as a decimal to the nearest hundredth
Solution
To calculate the probability that the next chew Liam removes will be a cherry chew, we can use the relative frequency of cherry chews based on the results from the experiment.
The probability is given by:
From the problem:
- Number of cherry chews selected = 2
- Total number of experiments = 62
Now, calculate the probability:
Rounding this to the nearest hundredth:
So, the probability that the next chew will be a cherry chew is 0.03 (to the nearest hundredth).
Would you like any further clarification? Here are some related questions to explore:
- How can we calculate the probability for pineapple chews?
- How do we determine the probability for lime chews in this experiment?
- What would the probability of selecting a pineapple chew be if the experiment was repeated 100 times?
- How would you express this probability as a percentage?
- What is the concept of "relative frequency" in probability?
Tip: The more times you repeat an experiment, the more accurate the probability estimate will be!
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Math Problem Analysis
Mathematical Concepts
Probability
Relative Frequency
Formulas
Probability = (Number of desired outcomes) / (Total number of outcomes)
Theorems
Law of Large Numbers
Suitable Grade Level
Grades 6-8