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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):
[tex]P(A)=\frac{n(A)}{N}[/tex]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:
[tex]\begin{gathered} P(A)=\frac{11}{40} \\ P(A)=0.275 \\ In\text{ percent:} \\ P(A)=0.275\cdot100 \\ P(A)=27.5 \end{gathered}[/tex]P(A) = 27.5%.
Answer: Alternative D. 27.5%.