Question

A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?

A) 1/9
B) 1/8
C) 1/27
D) 8/27

Answer 1

1/27

Explanation:

The outcomes when rolling a die are 1,2,3,4,5,6

getting less than 3 = 1,2

P( less than 3) = outcomes of less than 3 / total

= 2/6 = 1/3

Since the events are independent we can multiply the probabilities

P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27