Prove that in throwing a pair of dice, the occurrence of the number 4 on the first die is independent of the occurrence of 5 on the second die.

Explanation

Here, `4` will occur on first die.

But, it will not impact any of the occurance of second die.

Second die can contain any number between `1` and `6` including `5`.

As, number occuring on first die do not have any impact on number occuring `5`,

Therefore, the occurrence of the number `4` on the first die is independent of the occurrence of `5` on the second die.