Answer:
The probability that the paint latex = 0.857
Step-by-step explanation:
From the given information:
Let consider X to be the event that the customer has purchased the latex paint
Let consider Y to be the event that the customer has purchased semigloss paint.
Now, the probability of X i.e. P(X) = 0.75
SInce X and Y are mutually exhaustive)
P(Y) = 1 - P(X)
P(Y) = 1 - 0.75
P(Y) = 0.25
Similarly, Let Consider Z be the event that the customer has purchased a roller.
We are being told that P(Z|X) = 0.6
P(Z|Y) = 0.30
Thus, the probability that the paint latex = 0.857