Question

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. select an answer 1/36 1/3 1/12 1/6

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 blue die $P(A)=\frac{3}{6}=\frac{1}{2}$.

Step2: Find probability of 3 on green die

There is 1 face with 3 on a die. So probability of getting 3 on green die $P(B)=\frac{1}{6}$.

Step3: Use multiplication rule for independent events

Since the tosses of the two dice are independent events, the probability of both events occurring is $P(A\cap B)=P(A)\times P(B)$. So $P(A\cap B)=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.

Answer:

$\frac{1}{12}$