emily has a bag that contains orange chews, strawberry chews, and lime chews. she performs an experiment…

emily has a bag that contains orange chews, strawberry chews, and lime chews. she performs an experiment. emily randomly removes a chew from the bag, records the result, and returns the chew to the bag. emily performs the experiment 64 times. the results are shown below: an orange chew was selected 44 times. a strawberry chew was selected 18 times. a lime chew was selected 2 times. based on these results, express the probability that the next chew emily removes from the bag will be orange chew as a fraction in simplest form.

emily has a bag that contains orange chews, strawberry chews, and lime chews. she performs an experiment. emily randomly removes a chew from the bag, records the result, and returns the chew to the bag. emily performs the experiment 64 times. the results are shown below: an orange chew was selected 44 times. a strawberry chew was selected 18 times. a lime chew was selected 2 times. based on these results, express the probability that the next chew emily removes from the bag will be orange chew as a fraction in simplest form.

Answer

Explanation:

Step1: Recall probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

Step2: Identify values

Number of times orange chew was selected (favorable outcomes) = 44. Total number of experiments (total outcomes) = 64.

Step3: Calculate probability

Probability of selecting orange chew = $\frac{44}{64}$

Step4: Simplify fraction

$\frac{44\div4}{64\div4}=\frac{11}{16}$

Answer:

$\frac{11}{16}$