At a car and truck dealership, the probability that a vehicle is white is 0.25. The probability that it is a pickup truck is 0.15. The probability that it is a white pickup truck is 0.06.What is the probability that a vehicle is white, given that the vehicle is a pickup truck? Round your answer to two decimal places.A.0.40B.0.24C.0.06D.0.19SUBMITarrow_backPREVIOUS
Question
At a car and truck dealership, the probability that a vehicle is white is 0.25. The probability that it is a pickup truck is 0.15. The probability that it is a white pickup truck is 0.06.What is the probability that a vehicle is white, given that the vehicle is a pickup truck? Round your answer to two decimal places.A.0.40B.0.24C.0.06D.0.19SUBMITarrow_backPREVIOUS
Solution
The probability that a vehicle is white, given that the vehicle is a pickup truck, is calculated using the formula for conditional probability. The formula is:
P(A|B) = P(A ∩ B) / P(B)
Where: P(A|B) is the probability of event A occurring given that event B has occurred. P(A ∩ B) is the probability of both events A and B occurring. P(B) is the probability of event B occurring.
In this case, event A is the vehicle being white and event B is the vehicle being a pickup truck.
So, we have:
P(A|B) = P(A ∩ B) / P(B) = 0.06 / 0.15 = 0.40
So, the probability that a vehicle is white, given that the vehicle is a pickup truck, is 0.40 or 40%. Therefore, the answer is A.0.40.
Similar Questions
At a certain car dealership, the probability that a customer purchases an SUV is 0.20. Given that a customer purchases an SUV, the probability that it is black is 0.26. What is the probability that a customer purchases a black SUV? Round your answer to four decimal places, if necessary.
What is the probability that they are of same color ? . Enter the answer correct to two decimal places.
At the mall, buying a pair of shoes and buying a book are independent events.The probability that a shopper buys shoes is 0.20. The probability that a shopper buys a book is 0.10.What is the probability that a shopper buys shoes and a book?A.0.10B.0.20C.0.30D.0.02SUBMITarrow_backPREVIOUS
For a class assignment, Andrew wanted to study whether or not the color of a person's car correlates with the color of his or her hair. He spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver.Light hair Dark hairLight car 2 2Dark car 2 4What is the probability that a randomly selected driver has a dark car given that the driver has dark hair?Simplify any fractions.
A car distributor in City Y experiences an average of 2.5 car sales daily. Find the probability that on a randomly selected day, they will sell 5 car: 0.0668 0.544 0.082 0.205
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.