Question

Zoey has a bag that contains orange chews, apple chews, and watermelon chews. She

performs an experiment. Zoey randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Zoey performs the experiment 57 times. The
results are shown below:
A orange chew was selected 39 times.
A apple chew was selected 6 times.
A watermelon chew was selected 12 times.
Based on these results, express the probability that the next chew Zoey removes from
the bag will be apple chew as a decimal to the nearest hundredth.

Answer 1

The probability that the next chew Zoey removes from the bag will be an apple chew, based on her experiment results, is approximately 0.11 or 11%.

Step-by-step explanation:

To calculate the probability of selecting an apple chew as a decimal to the nearest hundredth, we will use the frequency results of Zoey's experiment. She selected an apple chew 6 times out of 57 trials.

Thus, we calculate the experimental probability, P(apple chew), as the frequency of the desired outcome divided by the total number of trials.

P(apple chew) = Number of apple chews selected / Total number of chews selected
= 6 / 57
= 0.10526315789473684210526315789474

To express this probability as a decimal to the nearest hundredth, we round the result to two decimal places:

P(apple chew) = 0.11

Therefore, the probability that the next chew Zoey removes from the bag will be an apple chew is approximately 0.11, or 11%.