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December 14, 2019
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Florida Fantasy 5 is a 36-ball game. Last week I bought 2 qps and today after confirming they were losers, I noticed the lines had the same sum. I know how to work out the odds of that happening when I buy just 2 lines.
I'm curious about the odds of it happening if I had bought 3 lines. Meaning, what are the odds of 2 out of 3 having the same sum?
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Quote: Originally posted by db101 on Feb 9, 2021
Florida Fantasy 5 is a 36-ball game. Last week I bought 2 qps and today after confirming they were losers, I noticed the lines had the same sum. I know how to work out the odds of that happening when I buy just 2 lines.
I'm curious about the odds of it happening if I had bought 3 lines. Meaning, what are the odds of 2 out of 3 having the same sum?
I didn't have time to work out the theoretical probability, but I ran 10,000,000 simulations and it happened 3.74944% of the time. If you want to work it out exact for three lines of 5/36, first calculate the number of ways of obtaining each possible sum from 15 to 170. If N(s) is the number of ways to get a particular sum "s" then you calculate
∑ 3*N(s)*N(s)*[376992-N(s)] where s ranges from 15 to 170. Then divide that total by 376992^3.
The reason why there is a factor of 3 in the formula above is because there are three ways that two out of three lines could have the same sum (first and second, first and last, or second and last). Hope that helps.