To find the experimental probability that the next carton of yogurt sold will be lemon, let's follow these steps:
1. Count the total number of cartons sold:
- Blueberry: 5 cartons
- Raspberry: 5 cartons
- Lemon: 8 cartons
Summing these up, we get:
[tex]\[
5 \text{ (blueberry)} + 5 \text{ (raspberry)} + 8 \text{ (lemon)} = 18 \text{ (total cartons)}
\][/tex]
2. Determine the number of lemon cartons sold:
- Lemon: 8 cartons
3. Calculate the experimental probability:
The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome is selling a lemon yogurt, and the total number of possible outcomes is the total number of cartons sold.
[tex]\[
P(\text{lemon}) = \frac{\text{Number of lemon cartons sold}}{\text{Total number of cartons sold}} = \frac{8}{18}
\][/tex]
4. Simplify the fraction:
To simplify the fraction [tex]\(\frac{8}{18}\)[/tex], we divide both the numerator and the denominator by their greatest common divisor, which is 2.
[tex]\[
\frac{8 \div 2}{18 \div 2} = \frac{4}{9}
\][/tex]
So, the experimental probability that the next carton of yogurt sold will be lemon is:
[tex]\[
P(\text{lemon}) = \frac{4}{9}
\][/tex]
