A card is randomly selected from a deck of card. Find the probability that it is a black card or a face card

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