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Odds of guessing a card back to back?

Posted on 8/11/17 at 9:10 pm
Posted by theantiquetiger
Paid Premium Member Plus
Member since Feb 2005
19933 posts
Posted on 8/11/17 at 9:10 pm
InB4 Three Fiddy

I was shuffling cards one day and asked someone to guess a card I picked. They picked it (10 hearts). I put it back into the deck, shuffle and pull another card. They pick it again (Ace clubs).

Question is what are the odds of this happening? Is it 1:52 because the picks are independent of each other or is it 1:104, or ever greater?
Posted by LSUBoo
Knoxville, TN
Member since Mar 2006
102594 posts
Posted on 8/11/17 at 9:10 pm to
I am going with greater.
Posted by biglego
San Francisco
Member since Nov 2007
80633 posts
Posted on 8/11/17 at 9:11 pm to
Time for you to buy a lotto ticket
Posted by rsbd
banks of the Mississippi
Member since Jan 2007
22791 posts
Posted on 8/11/17 at 9:11 pm to
Fiddy/Fiddy


U is either right or u is wrong
Posted by ThatMakesSense
Fort Lauderdale
Member since Aug 2015
15211 posts
Posted on 8/11/17 at 9:12 pm to
No to both.

You suck at math.
Posted by MSH
America
Member since Oct 2014
2785 posts
Posted on 8/11/17 at 9:12 pm to
quote:

Is it 1:52 because the picks are independent of each other or is it 1:104, or ever greater?


Neither.

It's a frickton more than that.
Posted by BigPerm30
Member since Aug 2011
29528 posts
Posted on 8/11/17 at 9:13 pm to
1:2704 to be exact
Posted by Jcorye1
Tom Brady = GoAT
Member since Dec 2007
75179 posts
Posted on 8/11/17 at 9:13 pm to
(1/52)*(1/52)

So about .037%
This post was edited on 8/11/17 at 9:16 pm
Posted by TheArrogantCorndog
Highland Rd
Member since Sep 2009
15338 posts
Posted on 8/11/17 at 9:16 pm to
(1/52)*(1/52) --> 1/2704
This post was edited on 8/11/17 at 9:17 pm
Posted by theantiquetiger
Paid Premium Member Plus
Member since Feb 2005
19933 posts
Posted on 8/11/17 at 9:17 pm to
I still believe it is only 1:52 because the picks are independent of each other.
This post was edited on 8/11/17 at 9:20 pm
Posted by East Coast Band
Member since Nov 2010
65923 posts
Posted on 8/11/17 at 9:17 pm to
Some people's lucky guesses wins million dollar lotteries. You just wasted yours on picking useless cards
Posted by white perch
the bright, happy side of hell
Member since Apr 2012
7484 posts
Posted on 8/11/17 at 9:17 pm to
(1/52) * (1/52) = you're answer
Posted by LSUBoo
Knoxville, TN
Member since Mar 2006
102594 posts
Posted on 8/11/17 at 9:19 pm to
Then you are still wrong.
Posted by white perch
the bright, happy side of hell
Member since Apr 2012
7484 posts
Posted on 8/11/17 at 9:20 pm to
quote:

1:2704 to be exact


You got the correct answer in 3 minutes. OT doing work tonight.
Posted by ortiz1193
Member since Dec 2009
80 posts
Posted on 8/11/17 at 9:22 pm to
They are independent. When events are independent you multiply the probabilities. (1/52)*(1/52)
Posted by UGATiger26
Jacksonville, FL
Member since Dec 2009
9128 posts
Posted on 8/11/17 at 9:22 pm to
quote:

I still believe it is only 1:52 because the picks are independent of each other.


No. You're not using that concept correctly in this scenario.

You're talking about the odds of picking the correct card twice in two attempts.
Posted by Sampson
Drusilla and Jefferson
Member since Mar 2012
24984 posts
Posted on 8/11/17 at 9:24 pm to
We should play a game of no limit hold em some time
Posted by theantiquetiger
Paid Premium Member Plus
Member since Feb 2005
19933 posts
Posted on 8/11/17 at 9:24 pm to
On a roulette table, there are 38 numbers (with 0 & 00).

The odds of rolling a 10 is 1:38. The odds of a 10 being rolled on next spin is still 1:38 because the spins are independent of each other.

Posted by xrockfordf150x
Walker, LA
Member since Sep 2008
3926 posts
Posted on 8/11/17 at 9:26 pm to
If the second guess was truly an add on to the first, for example card one was guessed then removed as a possibility for guess two, then the odds would be 1/52 * 1/51 or 1/2652. The way you described it is card one was guessed, put back into play, then card two was guess. That would be what others had said 1/2704.
This post was edited on 8/11/17 at 9:28 pm
Posted by theantiquetiger
Paid Premium Member Plus
Member since Feb 2005
19933 posts
Posted on 8/11/17 at 9:27 pm to
quote:

You're talking about the odds of picking the correct card twice in two attempts.


That's what happened. I didn't ask them to guess what two cards I am about to take out of the deck, I asked him to guess a card I just picked. When he got it correct, I bet him he couldn't do it again, and he did.
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