Help with poker math

[ClaudCunningham]

will someone please take the time to show me how to calculate odds from the
following example....


hero has 4,5 hearts

villian 8,9 clubs

flop
6 clubs, 7clubs, 3 diamonds
so villian is 53 to 47 percent favorite, but i cant figure out how to do the
math!!

I've had it explained to me that villian has 14 outs and is favorite, but doesnt
that leave hero the rest of the deck as outs ???

Can someone please walk me through the math to arrive at this . I think it will
help me better "conceptualize" things

thanks

[Sabrazack]

No, you don't have the rest of the deck for outs since there is two cards to come. If he hits his flush or straight you will be drawing dead on the last card. If he misses on the turn however he will now still have 16 outs but you will now have the rest of the deck as "outs".

A rough way of looking at it:

Villain only needs to hit his outs once to win, you have to hit your outs twice to win.