Here's How Likely Each Poker Hand Is

Advertisement

How To Find Probabilities

How To Find Probabilities
Advertisement

Finding The Number Of Hands

Finding The Number Of Hands
Advertisement

Order Doesn't Matter

Order Doesn't Matter

Getting Rid Of Order

Getting Rid Of Order
Advertisement

The Magic Number

The Magic Number

Straight Flushes

Straight Flushes
Advertisement

Probability Of A Straight Flush

Probability Of A Straight Flush

Four Of A Kind

Four Of A Kind
Advertisement

Full House

Full House

Full House Part 1: Three Of A Kind

Full House Part 1: Three Of A Kind
Advertisement

Full House Part 2: Pair

Full House Part 2: Pair

Flush

Flush
Advertisement

Counting Flushes

Counting Flushes

Probability Of A Flush

Probability Of A Flush
Advertisement

Straight

Straight

Probability Of A Straight

Probability Of A Straight
Advertisement

Three Of A Kind

Three Of A Kind

Counting The Triples

Counting The Triples
Advertisement

The Other Two Cards

The Other Two Cards

Order Doesn't Matter Again

Order Doesn't Matter Again
Advertisement

Probability Of Three Of A Kind

Probability Of Three Of A Kind

Two Pairs

Two Pairs
Advertisement

Counting Pair Ranks

Counting Pair Ranks

Counting Pairs

Counting Pairs
Advertisement

Probability Of Two Pairs

Probability Of Two Pairs

One Pair

One Pair
Advertisement

Counting Rank Options

Counting Rank Options

Probability Of One Pair

Probability Of One Pair
Advertisement

High Card

High Card

Probability Of High Card

Probability Of High Card
Advertisement

All The Probabilities

All The Probabilities

This Is Just The Beginning...

This Is Just The Beginning...
Advertisement

Sources

Sources

We based our calculations on this article by mathematician Brian Alspach.

Card images come from this collection by Iron Star Media.

Now check out some more math!

Now check out some more math!

The Only 8 Numbers You Need To Do Math

Advertisement