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Tourney Series Prop Bet Tourney Series Prop Bet

02-01-2018 , 07:54 PM
Can someone please either verify this for me or tell me that I'm ****ing stupid?

here are the stipulations. a friend of mine would like to play a series of 5 Satelites. Short end it is 1 in 13 to win a ticket in any of the tournaments. He and I would like to know the odds of winning 2 or more tickets within the series of 5. no skill advantage given to any player, just random draw.

I've tried crunching for about a day and now on my fourth attempt I think I maybe have it....

Spoiler:
"I really really think I have it now.... follow w me. probability that we win the first one= 1/13. probability we will not win any of the next ones (12/13)^4 therefore probability win first one and one more (1/13)*(1-(12/13)^4)...you keep going through that equation until you run out of possibilities. so probability of winning second one and one other (1/13)*(1-(12/13)^3), win third and one other =(1/13)*(1-(12/13)^2) win last two = (1/13)*(1/13). add all of those up for you total of winning any combination of two and you get ~5.5% which is a little over 1 in 18. You should do great at 1 in 20 or higher. I know ive had a lot of answers but this one really makes the most sense I'm gonna post it on 2+2. but I can't see anyway that it's wrong. I'll let you know if they stomp me ������"


is this correct?
Tourney Series Prop Bet Quote
02-01-2018 , 08:35 PM
This is a straightforward application of the binomial distribution. Some calculators and many computer programs (including spreadsheets) have the binomial distribution built-in. They often also have the cumulative binomial distribution built-in.

Of course, the formula is easy to do by hand as well. If I did this correctly, I find that the prob of winning 2 or more of a total of 5 tournaments when the prob of winning each tournament is 1/13 to be 5.05827%.
Tourney Series Prop Bet Quote

      
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