A fair

6-sided die is rolled and you note whether the number facing up is even or odd. If an even number is rolled then a fair coin is flipped three more times and the number of heads is noted. But if an odd number is rolled then the coin is flipped only twice more and the number of tails is noted.

I went like this and was wrong. please tell me why it was incorrect.

Even 3 (since there are 3 even numbers) 2 2 2

Odd 3 (same) 2 2

I multiplied them and got 36.