Cameron has a bag that contains strawberry chews, apple chews, and watermelon chews. He performs an experiment. Cameron randomly removes a chew from the bag, records the result, and returns the chew to the bag. Cameron performs the experiment 40 times. The results are shown below:A strawberry chew was selected 21 times.A apple chew was selected 7 times.A watermelon chew was selected 12 times.Based on these results, express the probability that the next chew Cameron removes from the bag will be a flavor other than watermelon as a fraction in simplest form.
Question
Cameron has a bag that contains strawberry chews, apple chews, and watermelon chews. He performs an experiment. Cameron randomly removes a chew from the bag, records the result, and returns the chew to the bag. Cameron performs the experiment 40 times. The results are shown below:A strawberry chew was selected 21 times.A apple chew was selected 7 times.A watermelon chew was selected 12 times.Based on these results, express the probability that the next chew Cameron removes from the bag will be a flavor other than watermelon as a fraction in simplest form.
Solution
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcomes are the times a strawberry chew or an apple chew was selected, and the total outcomes are the total number of experiments performed.
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First, add the number of times a strawberry chew and an apple chew were selected: 21 (strawberry) + 7 (apple) = 28.
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Then, divide this number by the total number of experiments performed: 28 ÷ 40 = 0.7.
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To express this as a fraction, we can write it as 7/10. However, this is not in simplest form.
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To simplify, divide both the numerator and the denominator by their greatest common divisor, which is 10. This gives us 7 ÷ 10 = 7/10.
So, the probability that the next chew Cameron removes from the bag will be a flavor other than watermelon is 7/10.
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