Question

Two dice are tossed and the absolute value of the difference of the numbers showing is recorded. Find the expected value of this experiment.

Answer 1

Answer:

Given,

Two dice are tossed

1:1, 2:2, 3:3, 4:4, 5:5, 6:6 - 6 different ways,

distinction is zero

(n:n+1) : 10 different ways & here distinction 1

(n:n+2) : 8 different ways & here distinction 2

(n:n+3) : 6 different ways & here distinction 3

(n:n+4) : 4 different ways & here distinction 4

(n:n+5) : 2 different ways & here distinction 5

Total number of ways = 6^2

= 36

Expected value of the experiment = 1/36* [0*6 + 1*10 + 2*8 + 3*6 + 4*4 + 2*5]

= 1/36*[70]

= 70/36

= 1.9444

Expected value of the experiment = 1.9444