[Randomness] Probability and the Nature of Randomness in Poker

The core conclusion of Poker Probability & Randomness: Probability ≠ Guaranteed Result

In poker:
→ Probability determines long-term advantage
→ Randomness determines short-term outcomes

You can control the decisions, but you can't control the cards dealt.

What is probability?

Probability represents:
→ The probability of something happening

For example：
→ AA to KK approximately 82%
→ Flush Draw has a success rate of approximately 35%.

Probability is a long-term average, not a single-event guarantee.

What is randomness?

Randomness represents:
→ The outcome may be different each time.

even though:
→ You have an 80% win rate

We could still lose this round.

This is not a system problem; it's just the way probability works.

Why does poker need randomness?

Without randomness:
→ Strong hands always win
→ Weak hands always lose
→ The game will become unbalanced

Randomness makes poker a long-term game, rather than a game with fixed answers.

The relationship between probability and randomness

Probability:
→ Long-term mathematical advantages

Randomness:
→ Short-term outcome fluctuations

Only when both are present can a true deck of cards be formed.

Classic practical scenarios

You: AA
Opponent: 72o

All-in before flipping:
→ Your win rate is 88%
→ Opponent approximately 12%

result:
→ Opponent Rivers (two pairs)

This is not unreasonable; it's just that 12% is bound to happen.

Why do many players tire?

Because they mistakenly believed:
→ High win rate = Guaranteed win

When the result deviates from expectations:
→ Loss of emotional control
→ Begin to doubt the strategy
→ Make error corrections

What truly defeats players is often not their opponents, but the emotions brought about by randomness.

How do experts view randomness?

Experts know:
→ The result of one-handed play is not important
→ Long-term EV is more important
→ Variance must exist

True masters don't fight against randomness; they accept it.

Most common mistakes

→ Treating short-term wins and losses as a measure of strength
→ Use results to judge decisions
→ I think Bad Beat is unreasonable.

These mistakes will prevent you from ever developing long-term thinking.

Advanced understanding: Probability × Variance × EV

What professional gamers truly understand is:
→ Probability
→ Variance
→ EV (Long-term Returns)

These three elements constitute the mathematical essence of poker.

Key conclusions

Poker doesn't control the outcome, but rather the long-term probability.

You only truly begin to understand poker when you accept randomness.