Answer:
8/13
Step-by-step explanation:
These are not mutually exclusive events; that is, they can happen at the same time. For that reason, we use
P(A or B) = P(A) + P(B) - P(A and B)
Let A be drawing a black card and B be drawing a face card.
There are 26 black cards out of 52; this makes P(A) = 26/52.
There are 3 face cards for every suit, and 4 suits; this means there are 12 face cards out of 52. This makes P(B) = 12/52.
There are 6 black face cards out of 52; this makes P(A and B) = 6/52.
This gives us
26/52 + 12/52 - 6/52 = 38/52 - 6/52 = 32/52 = 16/26 = 8/13
