Tuesday, November 17, 2009

What are the odds of getting a matching pair out of 16 Memory cards in 5 tries?

Keep in mind that you know only two match each other.

What are the odds of getting a matching pair out of 16 Memory cards in 5 tries?
If there are 16 memory cards, 8 pairs, then getting a matching pair in 5 tries is sort of likely.





The math looks like this:


Odds is a ratio if favorable outcomes to unfavorable outcomes, o:u





Because each card has only 1 match (favorable outcome), and 14 cards that don't match the one you picked (unfavorable outcomes), the odds are 1:14 of getting a match each time you try, or 6.6%.





If you try 5 times, 5 x 6.6%, gives you 33.33% or 1:2 odds or 1/3 probability of getting a match.





To answer your question, the odds are 1:2.





Godot was here.
Reply:i think that you just got lucky


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