We roll two modified sixsided die that have faces 1 1 2 3 4

We roll two modified six-sided die that have faces 1, 1, 2, 3, 4, 4, all coming up with equal probability. Find the expected value of the rolls

Solution

The die has 1,1,2,3,4,4

The prob distribution of x will be

As sum of all px = 2 1/2 or 2.5

Expected value of the rolls = 2.5