Question

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.

Answer 1

To find the probability that the next chew Gianna removes from the bag will be a cherry chew, we first need to calculate the total number of chews selected and the number of cherry chews selected.

From the experiment:
- Total number of selections = 49
- Number of cherry chews selected = 21

The probability \( P \) of selecting a cherry chew can be calculated using the formula:

\[
P(\text{cherry chew}) = \frac{\text{Number of cherry chews}}{\text{Total number of chews}}
\]

Substituting in the values:

\[
P(\text{cherry chew}) = \frac{21}{49}
\]

Now, we can simplify this fraction:

\[
P(\text{cherry chew}) = \frac{21 \div 7}{49 \div 7} = \frac{3}{7}
\]

Next, to express this probability as a percent, we multiply by 100:

\[
P(\text{cherry chew as a percent}) = \left(\frac{3}{7}\right) \times 100
\]

Calculating this, we first find \( \frac{3}{7} \):

\[
\frac{3}{7} \approx 0.42857
\]

Now, multiplying by 100:

\[
0.42857 \times 100 \approx 42.857
\]

Rounding to the nearest whole number gives us:

\[
\boxed{43}
\]

Thus, the probability that the next chew Gianna removes from the bag will be a cherry chew is approximately 43%.