Prob of a 2-Tone or Monotone Flop?

[Festus22]

Figuring this one has me stumped even if I exclude my 2 cards. And I'm asking about ANY two suits (or one), not just matching what I have in my hand.

I also think Party doesn't obey the result since it ALWAYS flops at least a two-tone (sure seems like it anyway).

Anyone?

[daryn]

</font><blockquote><font class="small">In risposta di:</font><hr />
I also think Party doesn't obey the result since it ALWAYS flops at least a two-tone (sure seems like it anyway).

[/ QUOTE ]

the key in this statement is the word think ..

if you don't know the probability in the first place, then you wouldn't have any idea whatsoever if party "obeyed" probability.

[Homer]

I'm pretty sure these solutions are correct:

Probability of a two-tone flop

4*C(13,2)*C(39,1) / C(52,3) = 12168/22100 = 55.06%

Probability of a monotone flop

(12/51)*(11/50) = 132/2550 = 5.18%

OR

4*C(13,3) / C(52,3) = 1144/22100 = 5.18%

Probability of a rainbow flop (Let's do this to see if the three solutions add up to 100%)

(39/51)*(26/50) = 1014/2550 = 39.76%

OR

C(13,1)^3*C(4,3) / C(52,3) = 8788/22100 = 39.76%

Woohoo! They add up to 100%!

-- Homer

[Festus22]

Thanks Homer!

Nicely done, as usual.