multi hand video poker
February 9th, 2010 at 5:32:52 PM
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What are the odds of getting at least one royal flush after being delt 4 to the royal on a 50 hand vidoe poker machine?
February 9th, 2010 at 6:04:17 PM
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Remember, each of the 50 hands has a card dealt to it from the 47 remaining.
So, you have one card out of 47 that will make your royal. Your chances of not hitting it are 46/47. Not hitting it 50 times is (46/47)^50 = 0.34119188. So just over 34% of the time you'll get skunked. Hitting one or more is 1 - (46/47)^50 = 0.65880812. So just under 66% of the time you'll get 1 or more royal.
--Dorothy
So, you have one card out of 47 that will make your royal. Your chances of not hitting it are 46/47. Not hitting it 50 times is (46/47)^50 = 0.34119188. So just over 34% of the time you'll get skunked. Hitting one or more is 1 - (46/47)^50 = 0.65880812. So just under 66% of the time you'll get 1 or more royal.
--Dorothy
"Who would have thought a good little girl like you could destroy my beautiful wickedness!"
