Question

A 6-sided die is rolled three times. What is the probability that all three rolls resulted in different numbers?

0.500

0.556

0.578

0.596

0.606

Answer 1

@jim_thompson5910

Answer 2

The first time it may be any number.
The second time, one of the numbers shouldn't come up. Probability 5/6.
Third time: only 4 possibilities left, so 4/6.
Total probability: \(1 \cdot \frac{5}{6}\cdot \frac{4}{6}=...\)

Answer 3

5/9?

Answer 4

b

Answer 5

First multiply, then simplify: 20/36=10/18=5/9

Answer 6

So, yes it's b.