Improving Pocket Cards Odds

Hi there!

I’m here once again to ask something. This time my question is regarding odds of improving pocket cards. Once I had the chance to take a look at the table you provided under the heading ‘Hand odds and probabilities’ but things seemed a bit confusing as the poker terminologies used were complexed then.

Now, say I am dealt a pocket pair and I would like to know the odds of improving this by the flop, turn and river for all possible combinations. Format could be like ??/1 and could actually be used for other variations of pocket cards like suited cards for flushes and straight flushes, connected cards for straights, and the like.

I’ll be expecting for your response in no time.

Thanks a ton!

Regards,
Gerard McClaine
Gerard,

First lets figure out your odds not to improve on each card on the flop. First, 48 cards out of 50 will not improve you hand on the flop. This is represented by 48/50. The second card is 47/50, and the third card 46/50. You then divide the numerator by the denominator and get you percentage for each card. For our example that is .96, .959, and .958. Multiply those three numbers together and you get .88, which is 88%. This means that there is an 88% chance that you will miss the flop and a 12% chance that you will hit the flop and make your set.

Beyond this, use the 4 and 2 method to calculate turn and river odds. Multiply your out, 2, by 4 which will yield 8% to catch your set on the turn. Then multiply 2 by 2 to get your result of 4% to improve on the river.

I would recommend you do some research about calculations online to help determine the other variations that you’re looking for.

Tags: cards, chance, flop, flushes, odds, pocket cards, pocket pair, poker terminologies, probabilities, river, straight flushes, straights, suited cards, turn, variations

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