Question

An octahedron was used as dice in a special edition of snakes and ladders. A player throws the die twice and takes the sum before making a move. Find the mean and variance of the sum of two throws of the die.

Answer 1

The distribution table for the sum of two dice is-

Mean $E(X) =\sum XP(X)=6.902$

Variance $= E(X^2)-[E(X)]^2$

$=54.074-(6.902)^2=54.704-47.637=7.06$