Five of a kind and other five-dice odds

What five dice do in a single roll, and how the odds change when you may re-roll twice.

One roll of five dice

Five six-sided dice have 7,776 equally likely combinations. Each roll falls into exactly one of these groups:

Result	Ways	Chance	About
Five of a kind	6	0.077%	1 in 1,296
Four of a kind	150	1.93%	1 in 52
Full house (three and two)	300	3.86%	1 in 26
Three of a kind	1,200	15.4%	1 in 6
Two pairs	1,800	23.1%	1 in 4
One pair	3,600	46.3%	1 in 2
No two dice the same	720	9.26%	1 in 11

Straights

Five in a row (1-2-3-4-5 or 2-3-4-5-6): 3.09%, or 1 in 32.
At least four in a row: 15.4%, or 1 in 6.

Five of a kind with re-rolls

Many dice games let you keep some dice and roll the rest again, up to three rolls in all. If you always keep your largest group of matching dice, the chance of ending with five of a kind is:

Rolls allowed	Chance of five of a kind	About
1	0.077%	1 in 1,296
2	1.263%	1 in 79
3	4.603%	1 in 22

So two re-rolls make five of a kind about 60 times more likely than a single throw, but it is still a long shot.

Several rolls in a row

Five of a kind on two separate rolls running: 1 in 1,679,616.
On three rolls running: 1 in 2,176,782,336.
At least one five of a kind somewhere in three separate rolls: 0.231%, or 1 in 432.

In Closest Call, three separate rolls of five dice are made in every hand. At its regular tables, a five of a kind in any of them pays a bonus to every player dealt into the hand, which is why it is announced when it happens.

More dice odds

Dice odds library: every chart in one place
Two dice (2d6) odds chart
Three dice (3d6) odds chart
4d6 drop the lowest: ability score odds
d20 with advantage and disadvantage
Attacker against defender dice odds
Two twenty-sided dice (2d20) odds chart
At least one six in 1 to 10 rolls
Dice calculator: the exact odds for any total with any number of dice, plus a dice roller.

Like dice? Closest Call is a free betting game built on the total of fifteen dice: pick a secret number, bet as the dice land, closest without going over takes the showdown, unless a bluff wins it first. It runs in your browser with no email needed, and there is a one-minute Daily Call with no sign-in. For adults 18 and over. Play Closest Call

Every figure on this page was computed by counting all possible outcomes. Game names mentioned here are trademarks of their owners; this site is not affiliated with or endorsed by them.