Answer:
The value of E [Z] is 0.50.
Step-by-step explanation:
The expected value is computed using the formula:
Denote the three dices as follows:
X₁ = a four-sided die
X₂ = a six-sided die
X₃ = a 12-sided die
Define the indicator variables as follows:
The probability of rolling a 4 in the three dices are as follows:
Compute the value of E [Z] as follows:
Thus, the value of E [Z] is 0.50.