Question

A box of 32 chocolates contains an equal number of strawberry, cherry, raspberry, and blueberry filled candies. What is the probability of randomly selecting a raspberry filled candy?
Responses
A





1 32
B





1 8
C





1 4
D

Answer 1

To find the probability of randomly selecting a raspberry-filled candy from a box of 32 chocolates that contains an equal number of strawberry, cherry, raspberry, and blueberry filled candies, we first need to determine how many raspberry-filled candies there are.

Since there are 4 different flavors (strawberry, cherry, raspberry, and blueberry) and the total number of chocolates is 32, we can calculate the number of each flavor as follows:

\[
\text{Number of each flavor} = \frac{32 \text{ chocolates}}{4 \text{ flavors}} = 8 \text{ chocolates per flavor}
\]

Therefore, there are 8 raspberry-filled chocolates in the box.

The probability of randomly selecting a raspberry-filled candy is given by the formula:

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

For this situation:

\[
\text{Probability of selecting a raspberry-filled candy} = \frac{8 \text{ raspberry candies}}{32 \text{ total candies}} = \frac{8}{32} = \frac{1}{4}
\]

Thus, the probability of randomly selecting a raspberry-filled candy is \(\frac{1}{4}\).

The correct response is:

C \(\frac{1}{4}\)