Question

What is the probability of rolling 4 even numbers on 4 rolls of a dice

Answer 1

1/16

Explanation:

Possible outcomes when rolling a fair die = 1, 2, 3, 4, 5, 6 (i.e 6 possible outcomes)

Possible outcomes when rolling an even number = 2, 4, 6 (i.e 3 possible outcomes)

Hence P (rolling even number on 1 roll) = 3 / 6 = 1/2

P (Rolling 4 even numbers on 4 rolls) = (1/2)(1/2)(1/2)(1/2) = 1/16