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re: Odds of guessing a card back to back?

Posted on 8/11/17 at 10:18 pm to
Posted by Volvagia
Fort Worth
Member since Mar 2006
52888 posts
Posted on 8/11/17 at 10:18 pm to
quote:

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?


Closer to 1: 2500.

ETA: someone actually did the math, although assuming the deck was reshuffled.


If not, it is 1:2652
This post was edited on 8/11/17 at 10:25 pm
Posted by Volvagia
Fort Worth
Member since Mar 2006
52888 posts
Posted on 8/11/17 at 10:19 pm to
quote:

That's changing what we did. I pulled a card, they guessed it correctly (1/52). I said try it again and they were correct (1/52).


But that doesn't change the fact that you asked what were the odds of getting two correct in a row.

The fact that it is made up of independent events is irrelevant.
This post was edited on 8/11/17 at 10:21 pm
Posted by noonan
Nassau Bay, TX
Member since Aug 2005
37000 posts
Posted on 8/11/17 at 10:23 pm to
quote:


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.


They aren't independent of each other. The second attempt is dependent on the first attempt being right. And the other way around.
Posted by shel311
McKinney, Texas
Member since Aug 2004
112622 posts
Posted on 8/11/17 at 10:56 pm to
quote:

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

Do you think the odds of guessing a card, say, 1000 times in a row is 1:52?

There's your answer.
Posted by Volvagia
Fort Worth
Member since Mar 2006
52888 posts
Posted on 8/11/17 at 10:58 pm to
I like how he comes to the OT to ask a question, but defends one side of it.


Looks like we were used as a third party to settle an argument....and the OP lost.
Posted by shel311
McKinney, Texas
Member since Aug 2004
112622 posts
Posted on 8/11/17 at 10:59 pm to
quote:

That's changing what we did. I pulled a card, they guessed it correctly (1/52). I said try it again and they were correct (1/52). I didn't ask them to pick the next two cards I pull out of two full decks.
Well that's different than your OP question.

Yes, if you try and try and try and he finally guesses right the 1st time, then at that point the odds of him guessing it correctly a 2nd time is 1 in 52.

But the odds of guessing right 2 times in a row is not 1 in 52. Huge difference.
Posted by G The Tiger Fan
Member since Apr 2015
115624 posts
Posted on 8/12/17 at 12:54 am to
quote:

I still believe it is only 1:52 because the picks are independent of each other.
With that logic, you'd have the same odds to pick the correct cards one billion times in a row as you would to pick the correct cards once.
This post was edited on 8/12/17 at 12:58 am
Posted by Evolved Simian
Bushwood Country Club
Member since Sep 2010
23097 posts
Posted on 8/12/17 at 1:00 am to
quote:

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.




Correct, but the odds that BOTH will be 10 are 1/38*1/38 or 1/1444.
Posted by supadave3
Houston, TX
Member since Dec 2005
31739 posts
Posted on 8/12/17 at 1:01 am to
quote:

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


Man, you're not very smart.
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