Five Probability Myths That Warp Poker Talk
Five sentences people repeat as if they were math. Each one fails a count you can do without a table.
Poker talk collects sentences that sound numerical and are not. They spread because they are short. This page takes five of them apart. The point is hygiene. A cleaned-up sentence will not pay your bills, and it will not make a session safe. It will stop you from nodding at a claim you could have checked.
The difference between odds and probability is in Odds and Probability Are Not the Same Number. The idea that a deck owes you a makeup hand is in Why the Next Card Does Not Remember. Read those when a myth below is only the short version of a longer confusion.
An all-in is not automatically a coin flip
An all-in is a betting fact. A coin flip is a probability of one half. The two meet only when the remaining cards really do split that evenly, which depends on the specific hands and the cards left. Two different pairs, a pair against overcards, or a made hand against a draw are not required to be equal. Call a situation close only after you have a count. Otherwise say both players can win, and leave the fraction alone. Close is not a synonym for fair, and fair is not a synonym for a call you must make.
A bigger field does not raise a fair drawing's chance
If a prize is a single drawing among people with equal claims, your chance is one divided by the number of people. Ten people means one in ten. A hundred people means one in a hundred. Adding entrants makes each person's share smaller, not larger. What can grow is the size of a winner-take-all prize, if the prize is built from the entries. A larger prize and a smaller chance are different facts. People blend them when they say a big event is a better opportunity. It may be a bigger story. In a fair drawing, the fraction moved the other way.
The burn card does not reset luck
Before each street the dealer often discards one card, the burn, face down. The procedure keeps a player from glimpsing the next card early. It also removes one unknown card from the deck. Removal is ordinary subtraction. It does not wash the previous hand out of a cosmic ledger, and it does not grant the table a fresh destiny. If the burn is an ace, that ace will not appear on the turn. That is the entire effect. Treat extra rituals laid on top of the burn as folklore.
An average does not mean you are due
An average describes many repetitions. It does not schedule the next one. A figure you computed correctly can still be followed by a long run of the less likely result. The myth is the jump from "the average is this" to "the next hour must repair me." Repair is not in the definition. The article on expected value keeps the average and refuses the schedule. Use it when the word due shows up next to a percentage.
A felt percentage is not a known one
Saying "about 40 percent" is a claim. If you cannot show the numerator and the denominator, it is a mood with a percent sign. Ask for the count. If the speaker cannot give it, do not carry the number to the next table. Invented precision is worse than an honest "I do not know," because other people will repeat it. This site's counts are written out so you can redo them. A sentence that will not survive that treatment is a myth even when the speaker is confident.
Frequently asked questions
Are all rules of thumb myths? No. A rough shortcut can be labeled as rough. The myth is the unlabeled shortcut that pretends to be exact, or the exact-sounding line that has no count behind it.
What if a computer says the number? Ask what it assumed. Software can apply a real count, and it can also hide a bad model. The screen does not end the question.
Does busting a myth tell me to fold? No. It tells you not to borrow a fake certainty. The decision to risk money stays a budget decision.