Event A is rolling a 3 on the first roll of a number cube. Event B is rolling a 2 on the second roll of the number cube. Are these events dependent or independent?

Answer 1

Hi Anson:

The trick to determining whether events are dependent or independent is to ask yourself: does event A in any way influence event B?

In this case, A and B are 2 separate throws of a die (or, equivalently, they could be on separate, but identical, dice)

The answer to the question is: no, they don't influence each other.

Therefore, A and B are independent events. The actual values of event A and B, i.e., the numbers that show up on the dice, are irrelevant.