To find the probability of having a brown pair of shoes given that the pair is black, we need to use the conditional probability formula:
P(brown|black) = P(brown and black) / P(black)
Let's calculate the probabilities:
P(brown and black) = Number of brown and black pairs / Total number of pairs
P(brown and black) = 0 (since there are no pairs that are both brown and black)
P(black) = Number of black pairs / Total number of pairs
P(black) = 47 / 100 = 0.47
Therefore, P(brown|black) = 0 / 0.47 = 0
So, the probability of having a brown pair of shoes given that the pair is black is 0.
Let me know if there's anything else I can help with!
