My Math Forum probability problem

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 May 4th, 2018, 02:12 AM #1 Senior Member   Joined: Jul 2011 Posts: 400 Thanks: 15 probability problem a Dice is thriwn $31$ times. Then probability of getting $2,4$ and $5$ at most $15$ times, is
May 4th, 2018, 05:26 AM   #2
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Quote:
 Originally Posted by panky Then probability of getting $2,4$ and $5$ at most $15$ times, is
You mean 2 or 4 or 5, right?

Same as getting 1 or 3 or 6 at most 16 times

 May 4th, 2018, 09:22 AM #3 Senior Member     Joined: Sep 2015 From: USA Posts: 2,042 Thanks: 1063 $\sum \limits_{k=0}^{15}~\dbinom{31}{k}\left(\dfrac 1 2\right)^{31} = \dfrac 1 2$

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