Probabilities in Triple Draw

[SrGuapo]

Thanks, I decided to do this myself and got, of course, similar answers. So, taking the 2347x 1 card draw a step further, probability of hitting on the first draw is about 17%, 2nd draw if you miss is about 17.4%, 3rd draw is about 17.8%. So, if you are dealt 2347x, the probability of hitting in three draws is .17+(1-.17)(.174)+(1-.17)(1-.174)(.178) which equals about 44%, or about 1.29 against? Does that seem right? This all ignores the flush possibilities, but shouldn't be all that impactful on the final answer, correct?