Correct Answer - Option 2 : 1/36
Calculation:
Let A: the event of the first die showing up an even number, 2, 4, or 6.
B: the event of the second die showing up an even prime number, 2.
C: the event of the third die showing up a composite number 4 or 6.
Their respective probabilities being,
⇒ P(A) = 3/6 = 1/2, P(B) = 1/6, and P(C) = 2/6 = 1/3
The require probability is obtained by compounding these events by multiplying individual probabilities.
Hence the require probability = 1/2 × 1/6 × 1/3 = 1/36
∴ The required result will be 1/36.