A fair 8-sided die has faces marked 1, 2, 3, 4, 5, 6, 7 and 8. The score when the die is rolled is the number on the face that the die lands on. The die is rolled twice.

Event V is ‘one of the scores is exactly 4 less than the other score’.

Event W is ‘the product of the scores is less than 13’.

Determine whether events V and W are independent, justifying your answer.