betting on multiple biased coin flips

ilscfn

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Joined
Feb 12, 2012
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Let's say you have a coin that has a 60% chance of coming up heads.

You are betting on heads with your unsuspecting opponent and getting 1:1 odds. If heads comes up, you win $1, and if tails does, you lose $1.

If you do 10 flips a day, what is the probability that you are a net winner on any given day?

To clarify, if heads comes up 5 times that day, you break even. If heads comes up 4 or less, you are a net loser. If heads comes up 6 or more, you are a net winner.

My grasp of statistics and probability is limited, and I am having a hard time figuring out how to approach this problem, as well as variations such as different probabilities, getting different odds, more flips a day, etc. ... Any help is appreciated.

Many Thanks!
-ils
 
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