Math Problem Statement

Alang has a bag that contains pineapple chews, strawberry chews, and lime chews. He performs an experiment. Alang randomly removes a chew from the bag, records the result, and returns the chew to the bag. Alang performs the experiment 26 times. The results are shown below: - A pineapple chew was selected 20 times. - A strawberry chew was selected 4 times. - A lime chew was selected 2 times. Based on these results, express the probability that the next chew Alang removes from the bag will be lime chew as a fraction in simplest form.

Solution

To calculate the probability that the next chew Alang removes from the bag will be a lime chew, we need to use the experimental frequencies provided.

  • Pineapple chew selected 20 times
  • Strawberry chew selected 4 times
  • Lime chew selected 2 times
  • Total experiments = 26

The probability of selecting a lime chew is given by the ratio of lime chews selected to the total number of selections.

P(lime chew)=lime chews selectedtotal selections=226P(\text{lime chew}) = \frac{\text{lime chews selected}}{\text{total selections}} = \frac{2}{26}

Simplifying the fraction:

226=113\frac{2}{26} = \frac{1}{13}

Thus, the probability that the next chew Alang removes from the bag will be a lime chew is 1/13.

Do you need further explanation or details?

Here are some related questions:

  1. How can you calculate the probability of an event from a set of outcomes?
  2. What are the differences between experimental and theoretical probabilities?
  3. How does the number of trials affect the accuracy of the experimental probability?
  4. What is the significance of simplifying fractions in probability?
  5. How would you calculate the probability of not drawing a lime chew from this bag?

Tip: When calculating probabilities from experiments, always ensure that your total trials are correctly accounted for, and simplify the fraction to its lowest terms.

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Math Problem Analysis

Mathematical Concepts

Probability
Experimental Probability

Formulas

P(event) = (Number of favorable outcomes) / (Total number of outcomes)

Theorems

Basic probability theory

Suitable Grade Level

Grades 6-8