Three Card Poker

I have a quick question about Three Card Poker!

If the players are dealt 3 cards, what are the odds of one of those cards will be a 9? Pair of 9? Three 9`s?

Thank you!

Quote: Zsezse99

I have a quick question about Three Card Poker!

If the players are dealt 3 cards, what are the odds of one of those cards will be a 9? Pair of 9? Three 9`s?

Thank you!

My math ain't perfect, but, perhaps this is the answer:

One 9: 4/52 * 50/51 * 49/50 = 7.39%

One 9: 4/52 * 48/51 * 47/50 = 6.8%

Two 9's: 4/52 * 3/51 * 49/50 = 0.44%

Two 9's: 4/52 * 3/51 * 48/50 = 0.43%

Three 9's: 4/52 * 3/51 * 2/50 = 0.018%


Edit: So my math is faulty.

Edit edit: oh nvm, it's not too faulty! I only did 9xx for the first one and 99x for the second one. Since there are 3 ways (9xx, x9x, xx9) for one 9, multiply that by 3. And the other there are 3 ways (99x, 9x9, x99) for two 9s, so also multiply by 3. The last one, well, there's only one way (999).

Sorry for the confusion if there was any.

One 9 = 4512/22100 ≈ 20.4163%
Two 9s = 288/22100 ≈ 1.3032%
Three 9s = 4/22100 ≈ 0.0181%