a box contains 24 fruit bars. the probability of choosing a cherry, apple, or strawberry bar is 1. the…
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 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? strawberry bars
Answer
Explanation:
Step1: Find probability of non - cherry bars
Since the probability of choosing a cherry bar is $\frac{1}{2}$, the probability of choosing a non - cherry bar (apple or strawberry) is $1-\frac{1}{2}=\frac{1}{2}$.
Step2: Determine probability of strawberry bars
The probability of choosing an apple bar equals the probability of choosing a strawberry bar. Let the probability of choosing an apple bar be $P(A)$ and a strawberry bar be $P(S)$. Since $P(A)+P(S)=\frac{1}{2}$ and $P(A) = P(S)$, then $P(S)=\frac{1}{2}\div2=\frac{1}{4}$.
Step3: Calculate number of strawberry bars
We know there are 24 fruit bars in total. Using the formula $n = P\times N$ (where $n$ is the number of a particular type, $P$ is the probability, and $N$ is the total number), the number of strawberry bars is $\frac{1}{4}\times24 = 6$.
Answer:
6