Question

A bag has ten tiny of dice. Two dice are randomly drawn. Find the expectation of the product of the numbers obtained on the faces of dice.

Answer 1

Let x and y denoted the numbers obtained on the faces of dice, is a discrete random variable with values 1, 2,…. 6 and with the probability \(\frac{1}{6}\) each.

Therefore E(x)

Similarly, E(y) = 3.5

Since, drawing dice are independens, therefore

E(x, y) = E(x) . E(y) = 3.5 × 3.5 = 12.25

Note: Similarly product of’n’ dice of numbers can also be calculated in the square way.