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 ...number.

## Step 1<br />The problem involves calculating the probability of an event, which is the selection of a cherry chew. The probability of an event is defined as the ratio of the number of times the event occurs to the total number of trials.<br /><br />## Step 2<br />In this case, the event is the selection of a cherry chew, which occurred 21 times. The total number of trials is 49, which is the total number of times Gianna performed the experiment.<br /><br />## Step 3<br />To find the probability, we divide the number of times the event occurred by the total number of trials. This gives us a decimal number.<br /><br />### **The formula for probability is:**<br />### \( P(E) = \frac{n(E)}{n(S)} \)<br /><br />where \( P(E) \) is the probability of event \( E \), \( n(E) \) is the number of times event \( E \) occurs, and \( n(S) \) is the total number of trials.<br /><br />## Step 4<br />In this case, \( n(E) = 21 \) (the number of times a cherry chew was selected) and \( n(S) = 49 \) (the total number of trials).<br /><br />## Step 5<br />Substituting these values into the formula, we get:<br /><br />### \( P(E) = \frac{21}{49} \)<br /><br />## Step 6<br />This gives us a decimal number. To express this as a percentage, we multiply by 100.<br /><br />### \( P(E) = \frac{21}{49} \times 100 \)