Problemas

Gianna has a bag that contains pineapple chews, cherry chews and lime chews. She performs an experiment. Gianna randomly removes a chew from the bag, records the result, and returns the chew to the bag Gianna performs the experiment 49 times. The results are shown below: A pineapple chew was selected 25 times. A cherry chew was selected 21 times. A lime chew was selected 3 times. Based on these results express the probability that the next chew Gianna removes from the bag will be cherry chew as a percent to the nearest whole number.
Solución
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To find the probability that the next chew Gianna removes from the bag will be a cherry chew, we need to use the experimental probability based on the results of her experiment.<br /><br />The experimental probability of selecting a cherry chew is calculated as follows:<br /><br />\[ \text{Probability of selecting a cherry chew} = \frac{\text{Number of times a cherry chew was selected}}{\text{Total number of trials}} \]<br /><br />Given:<br />- Number of times a cherry chew was selected = 21<br />- Total number of trials = 49<br /><br />So,<br /><br />\[ \text{Probability of selecting a cherry chew} = \frac{21}{49} \]<br /><br />To express this probability as a percent, we multiply by 100:<br /><br />\[ \text{Probability as a percent} = \left( \frac{21}{49} \right) \times 100 \]<br /><br />Now, let's calculate this:<br /><br />\[ \text{Probability as a percent} = \left( \frac{21}{49} \right) \times 100 \approx 42.86\% \]<br /><br />Rounding to the nearest whole number, the probability that the next chew Gianna removes from the bag will be a cherry chew is approximately 43%.<br /><br />So, the final answer is:<br /><br />\[ \boxed{43\%} \]
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