Question

A party store recorded recent balloon sales.
green 20
blue 17
pink 12
purple 19
orange 7
What is the experimental probability that the next balloon sold will be green?
Write your answer as a fraction or whole number.
P(green)=

Answer 1

To find the experimental probability of selling a green balloon, we first need to determine the total number of balloons sold.

Add up the sales of all the colors:

- Green: 20
- Blue: 17
- Pink: 12
- Purple: 19
- Orange: 7

Total sales = 20 + 17 + 12 + 19 + 7 = 75.

Now, the probability of selling a green balloon (P(green)) is given by the ratio of the number of green balloons sold to the total number of balloons sold:

\[
P(green) = \frac{\text{Number of green balloons}}{\text{Total number of balloons}} = \frac{20}{75}
\]

To simplify the fraction:

- Find the greatest common divisor (GCD) of 20 and 75, which is 5.
- Divide both the numerator and the denominator by 5:

\[
P(green) = \frac{20 \div 5}{75 \div 5} = \frac{4}{15}
\]

Thus, the experimental probability that the next balloon sold will be green is:

\[
P(green) = \frac{4}{15}
\]