Question

Annie has two number cubes, each with faces numbered 1,2,3,4,5,6. What is the probability that she can roll the cubes so that the number on the first cube is greater than 2 and the number on the second cube is less than 4?

Answer 1

Say one dice is red in color and the other is yellow. Why do we take two cases (2, 6) and (6, 2)?

Because a 2 on the red one and 6 on the yellow one is different from 2 on the yellow one and 6 on the red one.

In the case of (4, 4), you have 4 on the red one and 4 on the yellow one. How can you have another (4, 4) case? The other one will also be 4 on the red one and 4 on the yellow one.

Explanation: