Penelope has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Penelope randomly removes a chew from the bag, records the result, and returns the chew to the bag. Penelope performs the experiment 33 times. The results are shown below:

A orange chew was selected 13 times.

A apple chew was selected 9 times.

A lime chew was selected 11 times.

Based on these results, express the probability that the next chew Penelope removes from the bag will be apple or lime as a percent to the nearest whole number.


To calculate the probability that Penelope will select either an apple or lime chew, we first need to compute the relative frequencies based on the results of the experiment.

1. Total number of trials = 33.
2. Number of times an apple chew was selected = 9.
3. Number of times a lime chew was selected = 11.

The total number of favorable outcomes (either apple or lime chews) is:

\[
9 \, (\text{apple chews}) + 11 \, (\text{lime chews}) = 20
\]

The probability of selecting either an apple or a lime chew is:

\[
P(\text{apple or lime}) = \frac{20}{33}
\]

Now, convert this probability to a percentage:

\[
P(\text{apple or lime}) = \frac{20}{33} \times 100 \approx 60.61\%
\]

Rounding to the nearest whole number, the probability is:

\[
\boxed{61\%}
\]

Would you like further details on the calculations or have any questions?

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Here are 5 related questions:

1. How would the probability change if Penelope selected 5 more orange chews?
2. What is the probability of selecting an orange chew based on the experiment results?
3. If Penelope performed the experiment 100 times, how would you predict the new frequency for apple chews?
4. What is the probability that Penelope selects exactly 2 lime chews in 5 trials?
5. How would the probability change if the number of lime chews was halved?

**Tip:** Probabilities always sum to 100% for mutually exclusive outcomes.

Penelope has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Penelope randomly removes a chew from the bag, records the result, and returns the chew to the bag. Penelope performs the experiment 33 times. The results are shown below: A orange chew was selected 13 times. A apple chew was selected 9 times. A lime chew was selected 11 times. Based on these results, express the probability that the next chew Penelope removes from the bag will be apple or lime as a percent to the nearest whole number.

Explore how to calculate the probability of selecting an apple or lime chew from a bag based on experiment data. With a total of 33 trials, find out how often Penelope picks apple or lime chews and learn how to express this as a percentage. Suitable for students in Grades 5-7.

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