Posted by **alex** on Monday, March 15, 2010 at 4:13pm.

consider the experiment of selecting a card from an ordinary deck of 52 playing cards and determine the probability of the stated event.

A card that is not a king and not a spade is drawn.

I know there are 52 cards in a deck and there are 4 kings to a deck. And 13 spades in a deck. So I added the two together which would make it 17/52= 33% is this correct?

- probability -
**Reiny**, Monday, March 15, 2010 at 5:18pm
ahh, but you counted the "king of spades" twice.

there are only 12 cards that are NOT either kings or spades.

So you would be interested in drawing any of the other 40 cards

Prob(not a king and not a spade) = 40/52 = 10/13

- probability -
**Lacey**, Wednesday, December 15, 2010 at 9:03pm
This is wrong!! Spades are ace through K which is 13 plus the other 3 kings which is 16, not twelve.

- probability -
**Majda**, Friday, September 14, 2012 at 12:50pm
When a card is selected from a deck, find the probability of getting a king

- probability -
**Lynn**, Tuesday, April 21, 2015 at 11:10am
4 Kings in deck of 52

4/52

13 spades 52

13/52

4/52 + 13/52 but remember the king is used twice so you have to take away the king in the spades which gives you:

4/52+12/52=16/52

But you problem is stating:

NOT A KING OR NOT A SPADE

So you have to SUBTRACT 1

P(E)= 1-P(E)

So you get

P=(NOT A KING OR NOT A SPADE)

1-16/52=9/13

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