Question

While waiting for the school bus, Kris records the colors of all cars passing through an intersection. The tableshows the results. Estimate the probability that the next car through the intersection will be yellow. Express youranswer as a percent. If necessary, round your answer to the nearest tenth.

Answer 1

The probability P(A) that an event A occurs is the number of the favorable outcomes (n) divided by the number of total outcomes (N):

`P(A)=(n(A))/(N)`

In this exercise,

The number of favorable outcomes is the number of yellow cars.

So, n(A) = 11

The number of total outcomes is the number total of cars. So, is the sum of yellow, black, silver, and white cars.

N = 11 + 9 + 14 + 6

N = 40

Substituting it in the formula:

`\begin{gathered} P(A)=(11)/(40) \\ P(A)=0.275 \\ In\text{ percent:} \\ P(A)=0.275\cdot100 \\ P(A)=27.5 \end{gathered}`

P(A) = 27.5%.

Answer: Alternative D. 27.5%.