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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.

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 2626 times. The results are shown below:\newlineA pineapple chew was selected 2020 times.\newlineA strawberry chew was selected 44 times.\newlineA lime chew was selected 22 times.\newlineBased 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.

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Q. 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 2626 times. The results are shown below:\newlineA pineapple chew was selected 2020 times.\newlineA strawberry chew was selected 44 times.\newlineA lime chew was selected 22 times.\newlineBased 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.
  1. Calculate Total Chews: Determine the total number of chews selected during the experiment. Alang performed the experiment 2626 times, which means he selected a chew 2626 times in total.
  2. Find Lime Chews: Determine the number of times a lime chew was selected. According to the results, a lime chew was selected 22 times.
  3. Calculate Probability: Calculate the probability of selecting a lime chew.\newlineThe probability of an event is the number of times the event occurs divided by the total number of trials. Therefore, the probability of selecting a lime chew is the number of times a lime chew was selected divided by the total number of chews selected.\newlineProbability of lime chew =Number of lime chews selectedTotal number of chews selected= \frac{\text{Number of lime chews selected}}{\text{Total number of chews selected}}\newlineProbability of lime chew =226= \frac{2}{26}
  4. Simplify Fraction: Simplify the fraction to its simplest form.\newlineThe fraction 226\frac{2}{26} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newlineSimplified fraction = (2÷2)/(26÷2)(2 \div 2) / (26 \div 2)\newlineSimplified fraction = 113\frac{1}{13}

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