Question

The barista at The Sweet Slice Cafe kept track of how many customers ordered each type of drink yesterday.
hot chocolates 50
iced teas 12
espressos 13
Americanos 3
What is the probability that a randomly selected customer ordered an iced tea?
Write your answer as a fraction or whole number.
P(iced tea)=

Answer 1

To find the probability that a randomly selected customer ordered an iced tea, you need to divide the number of customers who ordered iced teas by the total number of customers.

First, let's calculate the total number of customers:

- Hot chocolates: 50
- Iced teas: 12
- Espressos: 13
- Americanos: 3

Total customers = 50 + 12 + 13 + 3 = 78

Now, the probability \( P \) of a customer ordering an iced tea is:

\[
P(\text{iced tea}) = \frac{\text{Number of iced teas}}{\text{Total customers}} = \frac{12}{78}
\]

Now, we can simplify the fraction \( \frac{12}{78} \):

Both the numerator and the denominator can be divided by 6:

\[
\frac{12 \div 6}{78 \div 6} = \frac{2}{13}
\]

Thus, the probability that a randomly selected customer ordered an iced tea is:

\[
P(\text{iced tea}) = \frac{2}{13}
\]