To find the probability that the next chew Liam removes from the bag will be a cherry chew, we need to calculate the probability based on the results of his experiment.

Liam performed the experiment 62 times, and he selected:

• 58 pineapple chews,
• 2 cherry chews,
• 2 lime chews.

The probability of an event is calculated as the ratio of favorable outcomes to total outcomes. In this case, the favorable outcome is selecting a cherry chew.

So, the probability of selecting a cherry chew is:

$P(\text{cherry chew}) = \frac{\text{Number of cherry chews}}{\text{Total number of trials}} = \frac{2}{62}$

Now, calculating this:

$P(\text{cherry chew}) = \frac{2}{62} = 0.0323$

Rounding to the nearest hundredth:

$P(\text{cherry chew}) \approx 0.03$

Thus, the probability that the next chew will be a cherry chew is 0.03.

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Would you like more details or have any questions? Here are some related questions:

1. How would the probability change if the number of pineapple chews was 50 instead of 58?
2. How can we determine if the results are biased toward pineapple chews?
3. What is the formula for calculating the probability of independent events?
4. How could the probabilities be affected if Liam doesn't replace the chews after drawing?
5. How do you calculate the expected value for the number of times each chew type is selected?

Tip: Probabilities are always between 0 and 1. If the experiment is fair, each outcome should have a roughly equal chance over many trials.