lesson = probabilities involving 2 dice question 8 of 1\ntwo dice are tossed, one blue and one green, find…

lesson = probabilities involving 2 dice question 8 of 1\ntwo 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.

lesson = probabilities involving 2 dice question 8 of 1\ntwo 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.

Answer

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:

$\frac{1}{12}$