A red fair six-sided dice has faces labelled 1, 1, 1, 2, 2, 2. A blue fair six-sided dice has faces labelled 1, 1, 2, 2, 3, 3. Both dice are thrown. The random variable X is the product of the scores on the two dice.

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.

1. [B1] Table with correct x values and at least one correct probability linked with the correct x-value. Values need not be in order, lines may not be drawn, may be vertical, x and P(X) may be omitted. Condone any additional x values if probability stated as 0.
2. [B1] 4 correct probabilities linked with the correct x-values, need not be in table, accept unsimplified.
3. [B1] 5 correct probabilities linked with correct x-values, may not be in table. Decimals correct to at least 3 SF. SC B1 4 or 5 probabilities summing to 1 placed in a probability distribution table with 4 or 5 x-values between 1 and 6 inclusive.
4. [B1 FT] FT their table with 4 or 5 probabilities (0 < p < 1) summing to 1.