Royal Flush chances during flop / pre-flop

[Wilx]

Hello, I’m newbie here! How to know if I have any chance to get a Royal Flush during the pre-flop / flop by looking at my cards? What my cards should be like during these rounds, so it would make sense to expect the Royal Flush and not fold them?



thanks in advance

 

[Nafor]

Welcome to CardsChat Wilx,

The best shot on royal flush would require you to have a suited cards (ten or better) in your hand. The probability of even this happening is 0.03 percent. You could make a royal flush even with only one high card in your hand but your chances would be even slimmer.

The probability of your suited hand to improve to royal flush depends on the board, but it is safe to say that your chances are still very low.

You are better off learning how to play any two cards that you are holding, and also learning when to fold them.

 

[Well Enuff]

To flop a Royal the following things must happen.

First hole card must be:
A, K, Q, J, or 10
Chances are 20/52

Second hole card must be:
A thru 10 of the same suit
Chances are 4/51

First flop card must be:
Any Broadway card [A - 10] of the same suit as holes
Chances are 3/50

Second flop card must be:
Any Broadway card of the same suit as holes
Chances are 2/49

Third flop card must be:
Any Broadway card of the same suit as holes
Chances are 1/48

If all that happens you have Flopped a Royal!

Let's do the math and see what the chances are of ALL those happening.

20 x 4 x 3 x 2 x 1
---------------------------
52 x 51 x 50 x 49 x 48

That is

480
---------------
311,875,200

That is 1 out of 649,740 hands.

Knowing that isn't going to help you much if you ever do get dealt a Royal.
But understanding how we arrived at the odds will be a help when you are confronted with the question of whether you should call a bet when you are drawing 2 cards to an open ended straight. Study the procedure, then look up the tables available everywhere and memorize some of the percentages for "outs" to your hand.

Good luck, Wilx!