Prop bet and a math ?

[oldmangrimis]

the Q,7,2 prop bet is when you bet that a Q or 7 or 2 will come out on the flop any one of those card and any three cards for that matter. i her this is a good prop bet but want to know if any of you math wiz could help me out of the odds. is it better then 50% and would you be able to le me knoe if it what it is.

I know the Avg winning 2 card in hold'em is Q7 but what is ine ave 5 card hands

thanks math wiz out there

[Sojumaster]

I ran a simulation on it, and I hit 1 of the 3 cards on the flop 54.4% of the time after 100,000 flops.

I could not figure out the exact formula for it though.

[ShaneP]

If you don't make any corrections for people's holdings, the probability of not getting any of those cards on the flop will be 40/52 * 39/51 * 38/50. First card on the flop--there's 40 'good' cards out of the 52 in the deck. second card, we've already got one of those good cards so now there's 39 cards out of 51. This winds up being 44.7%

The total prob of getting at least one of those three on the flop is then 55.29%.

Shane