MathCurious
MathCurious
Joined: Nov 27, 2020
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December 7th, 2020 at 5:04:29 PM permalink
Suppose I have 21 balls, 4 are black, 4 are yellow ,4 are red ,4 are orange and 5 are blue. How many ways can I get a pair? 2 balls of the same color?
unJon
unJon
Joined: Jul 1, 2018
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December 7th, 2020 at 5:55:34 PM permalink
Quote: MathCurious

Suppose I have 21 balls, 4 are black, 4 are yellow ,4 are red ,4 are orange and 5 are blue. How many ways can I get a pair? 2 balls of the same color?



16/21 of the time you draw not blue with the first ball and need the same color 3/20. 5/21 of the time you draw blue and need another blue 4/20.

16/21*3/20 + 5/21*4/20 = 68/420 = 16.19%
The race is not always to the swift, nor the battle to the strong; but that is the way to bet.
Wizard
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Wizard
Joined: Oct 14, 2009
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December 7th, 2020 at 6:27:38 PM permalink
Quote: MathCurious

Suppose I have 21 balls, 4 are black, 4 are yellow ,4 are red ,4 are orange and 5 are blue. How many ways can I get a pair? 2 balls of the same color?



4*combin(4,2)+combin(5,2) = 4*6 + 10 = 34
It's not whether you win or lose; it's whether or not you had a good bet.
Tolik
Tolik
Joined: Jan 24, 2021
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January 24th, 2021 at 4:05:24 PM permalink
At first: sorry for my english. I use a translator. Iwant to know the breakeven point in 3 card poker progressive jackpot. Ante bonus: 1-4-5. Pair plus:1-4-6-30-40. And minimum bet for ante and pair plus 10$ + 2$ for progressive jackpot. Progressive payouts : mini royal AKQ all spades 100%, any royal AKQ(clubs,hearts,diamonds) 25%
Wizard
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Wizard
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January 25th, 2021 at 1:17:30 PM permalink
Forgive me if I just analyze the Pairplus by itself and not fuss with the base game. In that case, the answer to your question is 384x the bet amount.

Hand Pays Combinations Combinations Return
Mini royal in spades 384 1 0.000045 0.017376
Mini royal 96 3 0.000136 0.013032
Straight flush 40 44 0.001991 0.079638
Three of a kind 30 52 0.002353 0.070588
Straight 6 720 0.032579 0.195475
Flush 4 1096 0.049593 0.198371
Pair 1 3744 0.169412 0.169412
Other -1 16440 0.743891 -0.743891
Total 22100 1.000000 0.000000


For every extra 100 bets in the meter, the return goes up by 0.79%.
It's not whether you win or lose; it's whether or not you had a good bet.
Tolik
Tolik
Joined: Jan 24, 2021
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January 25th, 2021 at 3:17:46 PM permalink
For Ante&Play only please?!(if i play without pair plus.) And we pay 2$ every hand for jackpot.
Tolik
Tolik
Joined: Jan 24, 2021
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January 25th, 2021 at 4:44:41 PM permalink
how much on average do we lose per hand if we playing without pair plus? I played 1400 hands (ante&play)and i lose 1470$ its normally? Bet size 10$

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