May 28th, 2013 at 7:14:06 PM
permalink
If there are 22 cards remaining in a deck of cards and 9 of the 22 will give you a winning hand. What is the probability you will draw one of your outs if you get to draw 3 cards off the top of the deck?
I only ask because I do not know the formula to use for this. The first card is 9/22 the second would be 9/21 the third would be 9/20.
I only ask because I do not know the formula to use for this. The first card is 9/22 the second would be 9/21 the third would be 9/20.
May 28th, 2013 at 7:59:28 PM
permalink
You solve for the chance of NOT catching a winner:
13/22 * 12/21 * 11/20 = 13/70
then
1- 13/70 = 57/70
So the chance of hitting at least one of your outs is 57/70 = 81.43%
13/22 * 12/21 * 11/20 = 13/70
then
1- 13/70 = 57/70
So the chance of hitting at least one of your outs is 57/70 = 81.43%