Final answer:
The probability of getting a 1 from the first pile and an even number from the second pile is found by multiplying the probability of each individual event. The result is 1/12.
Step-by-step explanation:
To find the probability of getting a 1 from pile one AND an even number from pile 2, we must consider each event separately and then use the product rule to find the combined probability of both events happening together.
The probability of getting a 1 from a six-sided die is 1 out of 6, or P(1) = 1/6.
For an even number from a six-sided die, which could be 2, 4, or 6, the probability is 3 out of 6, or P(even) = 3/6 = 1/2.
Next, we apply the product rule:
P(1 AND even) = P(1) × P(even) = (1/6) × (1/2) = 1/12.
The final probability of drawing a 1 from the first pile and an even number from the second pile simultaneously is 1/12.