Acard 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

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5