Question

Last week a gumball machine dispensed gumballs in several different colors.
yellow 20
green 23
purple 17
red 6
white 18
What is the experimental probability that the next gumball dispensed will be red?
Write your answer as a fraction or whole number.
P(red)=

Answer 1

1/14

Answer 2

To find the experimental probability that the next gumball dispensed will be red, you can use the formula for probability:

\[
P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]

In this case, the number of favorable outcomes for getting a red gumball is 6, and the total number of gumballs dispensed can be calculated by summing all the gumballs of different colors.

Let's calculate the total number of gumballs:

\[
\text{Total} = 20 \text{ (yellow)} + 23 \text{ (green)} + 17 \text{ (purple)} + 6 \text{ (red)} + 18 \text{ (white)} = 84
\]

Now we can calculate the probability of dispensing a red gumball:

\[
P(\text{red}) = \frac{6}{84}
\]

To simplify the fraction:

\[
\frac{6}{84} = \frac{1}{14}
\]

Thus, the experimental probability that the next gumball dispensed will be red is:

\[
P(\text{red}) = \frac{1}{14}
\]