Question

lesson = probabilities involving 2 dice question 8 of 1
two dice are tossed, one blue and one green, find the probability of an even number on the blue die and a 3 on the green die.

Explanation:

Step1: Find probability of even on blue die

A die has 6 faces. Even numbers on a die are 2, 4, 6. So probability of getting an even number on the blue die is $\frac{3}{6}=\frac{1}{2}$.

Step2: Find probability of 3 on green die

There is 1 face with 3 on a die. So probability of getting 3 on the green die 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 the required probability is $\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$