Random number generator between 1 and 6

How it works

The range is closed. 1 is legal. 6 is legal. 0 is not. 7 is not. A half is not, unless you switched the tool into decimals, which this query is not asking for. Six faces is the same size as a common cube die. A widget on a page is usually a pseudorandom algorithm that is hard to guess by eye. That is enough to pick a player, a chore, or a move in a board game. It is the wrong instrument for a secret key.

Inclusive bounds are the ordinary reading of “between” in this kind of search. If 6 never appears across a long session, the range is probably exclusive at the top, or the display is hiding the end. Check the settings before you blame luck. Write the specification in one sentence: “integers 1 through 6 inclusive.” That sentence is the whole tool.

Independent clicks may repeat. Two 4s in a row can be honest. A generator that secretly avoids the last face is no longer a uniform six-sided draw; it is a mixer with a memory. If you need each face once, shuffle the six integers and take them in order. Say which job you wanted before you argue about fairness.

Other small ranges on the same picker

A random number generator between 1 and 2 is a two-faced draw, the same size as a fair coin mapped onto 1 and 2. A random number generator between 1 and 3 has three legal integers. A random number generator between 1 and 10 has ten. A random number generator between 1 and 20 has twenty, the same size as a twenty-sided die. In every case the ordinary reading includes both ends, rejects zero, and rejects anything past the top.

1–2: two integers; coin-like if the two faces are equally likely. 1–3: three integers; a three-way pick. 1–6: six integers; cube-die size. 1–10: ten integers; a common classroom spinner. 1–20: twenty integers; tabletop-die size.

Do not reuse a 1–6 widget, throw away 5 and 6, and call it a 1–4 draw if you still want equal chances: discarding faces after the roll changes the weights unless you reroll those faces. Set the ends you meant. A 1–20 tool used as a 1–6 tool by ignoring high numbers is a slower 1–6 only if you reroll the extras. Ignoring them without rerolling is a different game.

Dice, clumps, and a record

Fairness here means each integer in the range has the same chance on a given draw, not that a short session will look “spread out.” Clumps happen. Three 2s in a handful of rolls can still be uniform. Forcing the output to look mixed is a different rule, and it is no longer a memoryless die.

A die that never shows 6 is a five-sided object with a fresh coat of paint. If the group needs a record, keep the range, the count, and the output together. “1 through 6 inclusive, one draw, result 5” is complete. “We used a generator” is not. The next person cannot replay a missing top face.