Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment. Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jeriel performs the experiment 31 times. The results are shown below:A strawberry chew was selected 24 times.A lemon chew was selected 3 times.A watermelon chew was selected 4 times.Based on these results, express the probability that the next chew Jeriel removes from the bag will be a flavor other than lemon as a decimal to the nearest hundredth.
Question
Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment. Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jeriel performs the experiment 31 times. The results are shown below:A strawberry chew was selected 24 times.A lemon chew was selected 3 times.A watermelon chew was selected 4 times.Based on these results, express the probability that the next chew Jeriel removes from the bag will be a flavor other than lemon as a decimal to the nearest hundredth.
Solution
To solve this problem, we first need to understand that the probability of an event is calculated by dividing the number of successful outcomes by the total number of outcomes.
In this case, the successful outcome is selecting a chew that is not a lemon chew. From the results, we know that a lemon chew was selected 3 times out of 31. This means that a chew that was not a lemon was selected 31 - 3 = 28 times.
So, the probability of selecting a chew that is not a lemon is 28/31.
To express this as a decimal to the nearest hundredth, we divide 28 by 31. The result is approximately 0.90.
So, the probability that the next chew Jeriel removes from the bag will be a flavor other than lemon is approximately 0.90, or 90%.
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