Question

Luis has a bag that contains strawberry chews, apple chews, and peach chews. He performs an experiment. Luis randomly removes a chew from the bag, records the result, and returns the chew to the bag. Luis performs the experiment 37 times. The results are shown below:
A strawberry chew was selected 8 times.
A apple chew was selected 14 times.
A peach chew was selected 15 times.

Based on these results, express the probability that the next chew Luis removes from the bag will be a flavor other than strawberry as a fraction in simplest form.

Answer 1

The probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).

What is Probability?

The probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

The number of times the experiment was done is 37 (15+14+8). The number of times apple chew came as a result of the experiment is 14, while the number of times peach chew came as a result of the experiment is 15. Therefore, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is

$\rm Probability = \dfrac{\text{Number of times apple chew or peach chew was selected}}{\text{Total number of times experiment was performed}}\\\\\\Probability = \dfrac{14+15}{37} = \dfrac{29}{37}$

Hence, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).

Learn more about Probability:

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