Question

math help ! Will give branliest !! At a car and truck dealership, the probability that a vehicle is white is 0.25 . The probability that it is a pick up truck is 0.15 . The or obability that it is a white pick up truck is 0.06 . What is the probability that the vehicle is white, given that the vehicle is a pickup truck . Round your answer to two decimal places .

Answer 1

Answer:

As per the statement:

Let  Event A represents the probability that a vehicle is white and Event B  represents the probability that it is a pick up truck .

then;

$P(A) = 0.25$ and $P(B) = 0.15$

It is also given that:

The Probability that it is a white pick up truck is 0.06.

⇒$P(A \cap B) = 0.06$ where $A \cap B$ represents that it is white pick up truck.

We have to find the the probability that the vehicle is white {given that the vehicle is a pickup truck}

We use the formula:

$P(A/B) = \frac{P(A \cap B)}{P(B)}$

where

$A/B$ represents that the pick up truck vehicle is white.

Substitute the given values we get;

$P(A/B) = \frac{0.06}{0.15} = 0.4$

Therefore,  the probability that the vehicle is white, given that the vehicle is a pickup truck is 0.4