May/June 2026 Paper 51

A fair red 4-sided spinner has sides numbered $1,2,3,3$. A fair blue 4-sided spinner has sides numbered $-2,-1,-1,1$. The two spinners are spun and the numbers on the sides on which they land are noted. The random variable $X$ is the sum of the two numbers obtained. Draw up the probability distribution table for $X$.

Find $\text{Var}(X)$.