Question

Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:

A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.

Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.

Answer 1

0.61

Explanation:

Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:

A orange chew was selected 5 times.

A apple chew was selected 23 times.

A lime chew was selected 18 times.

Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.

The experiment occured 46 times, a flavor other than lime was selected 5+23=28 times.

Probability the next chew will be a flavor other than lime:

\frac{\color{steelblue}{28}}{\color{indianred}{46}}=

46

28

​

=

\,\,0.608695...

0.608695...

\approx

≈

\,\,0.61

0.61

Answer 2

The probability is 0.609

Explanation:

Out of 46 times that the experiment was performed:

A orange chew was selected 5 times.

A apple chew was selected 23 times.

A lime chew was selected 18 times.

We can find the relative frequency of each one of them as the quotient between the number of times that a particular chew was selected, and the total number of chews.

Then for the orange ones we have a relative frequency (that can be thought as the probability) of:

Po = 5/46

For apple we get:

Pa = 23/46

For Lime we get:

Pl = 18/46

We want to find the probability that the next chew Kylie removes from the bag will be a flavor other than lime (so this is equal to the probability of getting orange plus the probability of getting apple):

P = Po + Pa = 5/46 + 23/46 = 0.609