Question

damian has a bag that contains pineapple chews, lemon chews, and watermelon chews. he performs an experiment. damian randomly removes a chew from the bag, records the result, and returns the chew to the bag. damian performs the experiment 68 times. the results are shown below:

a pineapple chew was selected 39 times.
a lemon chew was selected 24 times.
a watermelon chew was selected 5 times.

based on these results, express the probability that the next chew damian removes from the bag will be lemon chew as a decimal to the nearest hundredth.

answer attempt 1 out of 3

Explanation:

Step1: Recall probability formula

The experimental probability of an event is the number of times the event occurs divided by the total number of trials. So, for the lemon chew, the formula is $P(\text{lemon})=\frac{\text{Number of lemon chews selected}}{\text{Total number of trials}}$.

Step2: Identify values

Number of lemon chews selected is 24, and total number of trials (experiments) is 68.

Step3: Calculate the probability

Substitute the values into the formula: $P(\text{lemon})=\frac{24}{68}$. Then, divide 24 by 68: $24\div68\approx0.3529$.

Step4: Round to nearest hundredth

Rounding 0.3529 to the nearest hundredth (two decimal places), we look at the third decimal place which is 2. Since 2 < 5, we round down. So it becomes 0.35.

Answer:

0.35