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.
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 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.
Calculate Total Chews: Determine the total number of chews selected during the experiment. Alang performed the experiment 26 times, which means he selected a chew 26 times in total.
Find Lime Chews: Determine the number of times a lime chew was selected. According to the results, a lime chew was selected 2 times.
Calculate Probability: Calculate the probability of selecting a lime chew.The 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.Probability of lime chew =Total number of chews selectedNumber of lime chews selectedProbability of lime chew =262
Simplify Fraction: Simplify the fraction to its simplest form.The fraction 262 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.Simplified fraction = (2÷2)/(26÷2)Simplified fraction = 131
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