Almost Royal flush

[T3rminator4]

2 hole

then

2/3 on flop

then 0/2 turn river. What were my chances of getting it turn or river?

[FingerEleven]

slim & none

[KenProspero]

Well, as the deck was shuffled -- 0%, of course.

However, assuming no read at all as to any of the opps cards:

There's a rule for estimation, If there are two cards to come, multiply your outs by 4% to figure out the probability (the rule of 4) so, in this case it's about 4%.

If there's only one card to come, multiply by 2% instead.

If you need some more precision,

After the flop, you've seen 5 cards, so there are 47 unseen cards, one of which gives you the royal. After the Turn (if you haven't hit your royal), there are 46 unseen cards.

I 'think' the math here is: 1-((46/47)*(45/56)) or about 4.2553%

Rule of 4 works for me, though.