At a certain car dealership, 20% of customers who bought a new vehicle bought an suv, and 3% of them bought a black suv (that is 3% of customers bought a vehicle that was an suv and in black color). given that a customer bought an suv, what is the probability that it was black?

 0.15

Step-by-step explanation:

As per given , the probability that customers who bought a new vehicle bought an SUV : P(SUV) = 0.20

The probability that customer bought a vehicle that was an SUV and in black color : P(SUV and black)  =0.03

Now by suing conditional probability formula,

If we have given that a customer bought an SUV, then the probability that it was black will be :

Hence, the required probability is 0.15.

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5