Question-55

Two friends, Meenal and Sonika, play a game. Meenal rolls a fair six-sided die once, and Sonika flips a fair coin once. Let \(X\) be the outcome of the die and \(Y\) be the value of the coin flip (where \(Y\) = 1 if heads and \(Y\) = 0 if tails). If the prize of the game is \(Z = XY\), then find the expected prize value.

• \(1.75\)

• \(3.5\)

• \(0.5\)

• \(4\)

Hint

Answer

• \(1.75\)

• \(3.5\)

• \(0.5\)

• \(4\)

Solution