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What are the odds of being dealt all 7 cards in the same suit?
The odds of pulling 7 spades in 7 cards the number of ways to pull 7 spades (from among the 13 spades) divided by the number of ways to pull 7 cards (from among the 52 cards).
13c7 = 1716
52c7 = 133784560
1716 / 133784560 = 0.0000128 = 0.00128 %
For general suit (not just spades), multiply ...
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It's just one of many forms of a class of games called Contract Rummy. (The various rounds' goals are called contracts).
The major variation here seems to be:
The discard (or rather lack of discard): I guess by your description (since one cannot make three sets with only seven cards) that players just draw a card each turn and are not required (or ...
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Some slightly watered down math (that still gives the right answer).
You have a 100% chance of your first card being a "good" card.
There are then 51 cards left, of which 12 will be a card that matches suit, so you have a 12/51 chance that the second card will be "good".
11/50 chance that the third card will be "good".
....
So, you have 1x(12/51)x(11/50)x(...
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L. Scott Johnson is mostly correct except for 2 things:
You specified it wasn't a straight flush (there are 7 8-card straight flushes per suit he should have removed.)
You asked about the 7 card flush, which you were dealt before the draw, not the 8 card flush you drew into.
This gives us:
13C7 as the nCr we care about, giving us 1716 possible flushes of ...
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This is a form of contract rummy called progressive rummy.
(I note that since the contracts you name include ever-increasing ones eventually leading to ones that cannot be met with only seven cards that each deal probably involves an additional card)
Progressive Rummy: Progressive Rummy is played very similarly to Contract Rummy. The main differences are in ...
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You describe a variant of a Rummy game. With the following special rules:
2's act as jokers.
Special pick-up-from-discard pile rule: can pick up any number of cards from discard or a single face-down card from the deck.
Target goal of points, similar but not the same as in Pagat:Kalooki
starting hand of 9 cards
Paget:Rummy have a long list of Rummy games, ...
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That set is acceptable only in Indian Rummy's three deck variant. (I'll call Indian Rummy by its name Paplu here for some better clarity.)
Two-deck Paplu and regular Rummy only has sets (same card value, different suites) and runs (same suit, sequential card values) and that move isn't legal in this format.
Three-deck Paplu allows the set type you describe, ...
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It seems to exactly fit the rules of the French game Rami, which must be one of the variations of the Rummy, i guess. I did not even know there were different kind of Rummy.
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