Question

Lauren has a bag that contains strawberry chews, lemon chews, and peach chews. She performs an experiment. Lauren randomly removes a chew from the bag, records the result, and returns the chew to the bag. Lauren performs the experiment 45 times. The results are shown below: A strawberry chew was selected 13 times. A lemon chew was selected 11 times. A peach chew was selected 21 times. Based on these results, express the probability that the next chew Lauren removes from the bag will be a flavor other than peach as a fraction in simplest form.

Answer 1

24/45 or 8/15

Explanation:

The probability that the next chew Lauren removes from the bag will be a flavor other than peach is 24/45. This is because there are 24 chews that are not peach (13 strawberry chews + 11 lemon chews) and 45 total chews. Therefore, the probability is 24/45 or 8/15 in simplest form.

Answer 2

The total number of chews Lauren removed from the bag is 45, and the number of times she selected a peach chew is 21. Therefore, the number of times Lauren removed a flavor other than peach from the bag is 45 - 21 = 24.

The probability that the next chew Lauren removes from the bag will be a flavor other than peach can be expressed as the ratio of the number of times Lauren removed a flavor other than peach to the total number of times she removed a chew from the bag. Thus, the probability is:

24/45

To simplify this fraction, we can divide both the numerator and the denominator by 3:

24/45 = (83)/(153) = 8/15

Therefore, the probability that the next chew Lauren removes from the bag will be a flavor other than peach is 8/15.