On the average about half of the times you toss the coin you will 
toss a head.

The sides of the die are 1,2,3,4,5,6,7,8.
Four of those are greater than 4.

On the average four times out of 8 you will roll a 5,6,7, or 8. 
Four times out of 8 is 4/8 or 1/2.  So half the time you will
roll a number greater than 4.

So 1/2 of the times you will get a head on the coin.
And 1/2 of THOSE times you will also roll a number greater than 
4 on the die.

That's one-half of one-half of the times.  That's

  

So one-fourth of the time you will get a head on the coin and a
number greater than 4 on the die.

Answer: 

Edwin