How do you play Odds and Evens?

Odds and Evens is a two-player game. The rules are simple:

Who picks odd or even

In the traditional game, someone calls “odd” or “even” before the reveal. In our online Odd or Even game, the player picks against the CPU; in 2-player mode (same device) only Player 1 makes the call and Player 2 just chooses their fingers; in Battle mode the call is automatic.

Example round

Player A secretly picks "even". Player A shows 3 fingers. Player B shows 2 fingers. Total = 3 + 2 = 5. 5 is odd → Player A loses the round.

Second round: A picks "odd". A shows 4 fingers. B shows 1 finger. Total = 5. 5 is odd → Player A wins.

Note: showing 0 fingers (a closed fist) is valid. A total of 0+0=0 is even — whoever picked "even" wins that round.

Want to try it? Play Odd or Even online for free against the CPU or a friend, and use the parity table in the strategy section.

History: from Rome to the world

Ancient Rome: ludere par impar

The game appears in Latin texts under the name ludere par impar — "to play odd or even". The poet Horace mentions it in his Satires as a typical children's pastime. In the original Roman version, instead of fingers, players guessed whether a closed hand hid an even or odd number of nuts, beans or coins; the finger version is the modern form.

The Greek world

Ancient sources suggest the Greeks also knew a game of guessing odd or even, usually called artiasmos (from artios, “even”).

What it's called

Strategy: is there a way to win more?

Odds and Evens has more of a luck component than Chopsticks or Morra — but it isn't fully random against humans.

Your opponent's habits

Some people fall into habits: always the same number of fingers, or always the same parity. The extremes (0 and 5) can feel "odd" and some players avoid them. If you spot a habit like that, use it: all you need to anticipate is the parity of what your opponent will show (see the parity table below).

Influencing the total with your own fingers

If you think your opponent will show 3 fingers (odd), and you picked "even": you need the total to be even. To do that, show an odd number (1, 3 or 5) — odd + odd = even. If you think they'll show 2 (even) and you picked "odd": show an odd number too — even + odd = odd. The parity table is simple:

Watching for patterns

Every round is independent: your opponent showing 2 fingers three times in a row does not mean they are about to switch. What helps is checking whether they have a real habit, such as showing the same parity almost every time, and whether it holds. If you cannot find one, the best play is to choose your own parity at random (see the next section).

The maths behind it: why Odds and Evens is 50/50

Each player shows 0 to 5 fingers: three even numbers (0, 2, 4) and three odd ones (1, 3, 5). If both choose at random, the total is even in 18 of the 36 possible combinations and odd in the other 18 — exactly 50% each way.

What decides the round is not the exact number of fingers but the parity of each one. The player who called "even" wins when both show the same parity (even+even or odd+odd); the player who called "odd" wins when the parities differ. It is the same structure as the textbook game matching pennies: the best defence against an attentive opponent is to pick your parity at random, half and half. Any habit — always showing 3, say — can be exploited.

You calledYou think your opponent will showShow
evenan even number (0, 2 or 4)an even number
evenan odd number (1, 3 or 5)an odd number
oddan even number (0, 2 or 4)an odd number
oddan odd number (1, 3 or 5)an even number

You only need to predict your opponent's parity, not the exact number — so noticing whether they alternate between even and odd is worth more than counting fingers.

Odds and Evens as a teaching tool

Odds and Evens can help teach the concept of odd and even numbers to young kids. Adding two numbers and determining parity becomes concrete and meaningful when there's a "win or lose" outcome attached. It can be used in the classroom to introduce arithmetic in a playful way.

If you're looking for more no-materials games for the classroom, you might also like Chopsticks (you can also play Chopsticks online; addition and strategy) and Morra (fast addition from 2 to 10).

🤞 Play Odds and Evens free →