Question

In a city 20% of the cars are electric, 16% of the cars are red, and 14% of the cars are red electriccars. If a car is randomly picked and found to be red, what is the probability that this car is electric?Enter your answer as a decimal number rounded to TWO digits after the decimal point, like 0.12.DO NOT enter it like 12% or 12.

Answer 1

$\begin{gathered} P(A)=Probability\text{ the car is electric=20\%=0.2} \\ P(A)=0.2 \\ P(B)=Probability\text{ the car is red =16\%=0.16} \\ P(B)=0.16 \\ P(A\cap B)=Probability\text{ the car is red electric=14\%=0.14} \\ P(A|B)=Probability\text{ the car is electric given it is red=?} \\ P(A|B)=\frac{P(A\cap B)}{P(B)} \\ P(A|B)=\frac{0.14}{0.16} \\ P(A|B)=0.88 \\ The\text{ probability is 0.88} \end{gathered}$