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Jun 29 at 14:24 comment added Rosie F "Three cards" or "three or more cards"? Your $\binom{20}7$ suggests that you require "three". However, those such as @lulu and MrPuffer who reckon that you succeed unless you draw two cards of each suit seem to have taken you as meaning "three or more". Does SSSSHHHHDC count or not?
Jun 29 at 5:19 history became hot network question
Jun 29 at 3:16 history edited RobPratt
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Jun 29 at 0:53 answer added Henry timeline score: 5
Jun 28 at 22:14 answer added MrPuffer timeline score: 9
Jun 28 at 21:40 comment added lulu As you remark, the only way to fail to get three of a suit is if you get two each of every suit. Work out the probability of that.
Jun 28 at 21:38 comment added lulu With this deck, and that hand, you have to worry about drawing three cards from each of two suits or even three suits.
Jun 28 at 21:36 comment added Lion Heart What do you mean $3$ cards of the same suit. Selecting ${20 \choose 7}$ can include also another $3$ cards of the other same suit.
S Jun 28 at 21:16 review First questions
Jun 28 at 21:20
S Jun 28 at 21:16 history asked Ian Clayman CC BY-SA 4.0