Question

a box contains 24 fruit bars. - the probability of choosing a cherry, apple, or strawberry bar is 1. - the probability of choosing a cherry bar is \\(\frac{1}{2}\\). - the probability of choosing an apple bar equals the probability of choosing a strawberry bar. how many strawberry bars are in the box? 5 strawberry bars the probability of choosing a cherry bar is \\(\frac{1}{2}\\), so 12 of the bars must be cherry. the remaining bars are either apple or strawberry.

Explanation:

Step1: Calculate cherry bar count

Total bars = 24, probability of cherry = $\frac{1}{2}$.
Number of cherry bars = $24 \times \frac{1}{2} = 12$

Step2: Find remaining bar count

Subtract cherry bars from total.
Remaining bars = $24 - 12 = 12$

Step3: Split remaining for apple/strawberry

Apple and strawberry probabilities are equal, so split remaining bars evenly.
Number of strawberry bars = $\frac{12}{2} = 6$

Answer:

6