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 Posted: Sun Jul 27, 2008 5:17 pm
I did some math to see the probability of drawing cards in a game but I'm not sure if I'm right or not.
3=Cards that I want to draw
41=Total number of cards in deck
Odds of drawing at least one of the three cards I want to draw:
3/41=7.3%
3/40=7.5%
3/39=7.6%
3/38=7.8%
3/37=8.1
3/36=8.3
Then I found the average which was 7.8
My answer: 7.8% are the odds of drawing at least 1 of the three cards I want in a 41 card deck at the start of the game when I draw 6 cards. Is this the correct answer?
Also what are the odds of drawing all 3 cards in a 6 card hand in a 41 card deck?
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Posted: Tue Sep 23, 2008 5:03 pm
First, let me apologize for the lateness of this response. I had not noticed this topic before. Next, the best way to calculate the probability in this sort of problem is a bit different than you might expect. Rather than attempt to find the odds of drawing the card, you should look for the odds of not drawing the card. Once you have that percentage, you can subtract it from 100% to get the answer you want.
In this case, you would first take: (38*37*36*35*34*33)/(41*40*39*38*37*36) = 61.4%
Subtract that from 100, and you get a 38.6% chance of drawing one copy of the card within your first six draws.
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