Calculating the odds of hitting a hand on the flop

[BruceZ]

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I'm would be grateful if someone could point me in the right direction on how to make calculations on the probability a hand will hit on the flop.
For example suppose a player in early position raises to 3BB pre-flop. Two other players call that bet. It comes to me on the button and I have a hand like 56s or even 56o or J3s. I'm not looking for the probability these hans will win because I would fold them on the flop if they do not hit and would not play it to the turn or river. I would like to know how to calculate the probability of hitting a straight or a flush with these hands or even a draw to a straight or a flush on the flop so I know what implied odds I would need pre-flop to play these hands. Any help is appreciated.

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This post and related links has the info for suited connectors, and you can apply some of this to the other hands as well.