Count the possibilities.
Understand the chance.

What the model assumes

There are ten equally likely digits, 0 through 9, and draws are independent. These assumptions describe this educational model. They do not establish the probabilities or fairness of an external service.

One draw or several draws?

For one draw, count distinct digits that satisfy the question. For a specified sequence across independent draws, multiply each position’s probability. Big, Big, Small has probability 1/2 × 1/2 × 1/2 = 1/8, or 12.5%.

The sequence answer applies to that next block in that order. It is not the probability of finding the pattern somewhere in a longer history. Learn more in the streaks and randomness guide.

Why color groups need care

Red and Violet overlap at 0. “Red or Violet” contains six distinct digits: 0, 2, 4, 5, 6, and 8. Its probability is 60%, rather than 70%. Big and Red contains only 6 and 8, so its probability is 20%, not the 25% obtained by incorrectly assuming independence within a single draw.

See the classification table and the OpenStax probability rules.

Read the comparison

Observed frequency is the number of matching draws divided by the sample size. Expected count is sample size × theoretical probability and can be fractional. The gap is shown in percentage points. A large sample can still differ from the theoretical value; none of these results predicts the next draw.