P (King or black card) ?

7/13

Step-by-step explanation:

If we are looking at a standard deck of playing cards, we have 52 cards total.

*13 of each suit (there are 4 suits; spades, clubs, hearts, and diamonds)

*2 kinds of colors-black or red. Half the deck is black and half the deck is red. There are 26 reds and 26 blacks.

*There is 1 king of each suit and since there are 4 suits, then there are 4 kings.

We can make other observations.

P (King or black card)

=P (King) + P (black card) - P (king and black card)

(We are subtracting out anything that counted twice in the "and" part)

=4/52 + 26/52 - 2/52

Notes:

-P (king) = 4/52 comes from there being 4 kings in all in a deck of 52 playing cards.

-P (black card) = 26/52 comes from that half the deck is black (and the other half is red) in a deck of 52 playing cards. Technically, we could have just said this equal 1/2 here instead. I will leave as 26/52 for now so I can have a common denominator already setup.

-P (king and black card) = 2/52 comes from there being 2 black cards that are kings in a deck of 52 playing cards. We have to get rid of these 2 from the 4+26 since if we don't we would have counted them twice)

Let's simplify:

= (4+26-2) / 52

= (30-2) / 52

=28/52

Let's reduce:

= (28/4) / (52/4)

=7/13