Answer: 7/13
Step-by-step explanation:
To do this, we find the probability of getting a black card, and getting a five but we have to subtract out the black fives.
There are 26 black cards out of the 52 cards in the set.
The are 4 fives out of the 52 cards in the set.
That would mean that 2 of the fives are black. If we didn't subtract the black fives, we would be overcounting.
Therefore we have 26/52 + 4/52 - 2/52 = 28/52 = 14/26 = 7/13