Question

clarence rolls 2 number cubes, numbered 1–6. what is the probability that he will roll a number greater than 4 on both rolls? enter the answer in the space provided. use numbers instead of words.

Explanation:

Step1: Find probability for one cube

Numbers greater than 4 on a 1 - 6 cube are 5, 6. So there are 2 favorable outcomes. Total outcomes = 6. Probability for one cube: $\frac{2}{6}=\frac{1}{3}$.

Step2: Find probability for two cubes

Since the rolls are independent, multiply the probabilities. Probability for two cubes: $\frac{1}{3} \times \frac{1}{3}=\frac{1}{9}$.

Answer:

$\frac{1}{9}$