Question

Charlotte's Breakfast Goodies recorded how many of each type of muffin it recently sold.
pumpkin spice muffins 3
blueberry muffins 4
bran muffins 4
blackberry muffins 7
What is the experimental probability that the next muffin sold will be a pumpkin spice muffin?
Simplify your answer and write it as a fraction or whole number.
P(pumpkin spice muffin)=

Answer 1

To find the experimental probability that the next muffin sold will be a pumpkin spice muffin, we first need to determine the total number of muffins sold.

The total number of muffins sold is the sum of all the muffins:

\[
3 \text{ (pumpkin spice)} + 4 \text{ (blueberry)} + 4 \text{ (bran)} + 7 \text{ (blackberry)} = 18 \text{ muffins}
\]

Now, the probability of selling a pumpkin spice muffin is given by the formula:

\[
P(\text{pumpkin spice muffin}) = \frac{\text{Number of pumpkin spice muffins sold}}{\text{Total number of muffins sold}}
\]

Substituting the values we have:

\[
P(\text{pumpkin spice muffin}) = \frac{3}{18}
\]

Next, we simplify the fraction:

\[
\frac{3}{18} = \frac{1}{6}
\]

So, the experimental probability that the next muffin sold will be a pumpkin spice muffin is:

\[
P(\text{pumpkin spice muffin}) = \frac{1}{6}
\]