Question

two dice are tossed, one blue and one green, find the probability of an odd number on the blue die and a 6 on the green die. select an answer 1/18 1/3 1/6 1/12

Explanation:

Step1: Determine probability of odd on blue die

A die has 6 faces. The odd - numbered faces are 1, 3, 5. So the probability of getting an odd number on a single die toss is $\frac{3}{6}=\frac{1}{2}$.

Step2: Determine probability of 6 on green die

The probability of getting a 6 on a single die toss is $\frac{1}{6}$.

Step3: Use multiplication rule for independent events

Since the tosses of the two dice are independent events, the probability of both events occurring is the product of their individual probabilities. So $P=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$