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 probability is 0.609

Step-by-step 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

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step-by-step explanation:

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