The question missing the number of red marbles, it should be 5.
You select 2 marble randomly without replacement. The word without replacement show that you pick the marble at different times, so the order is important. There are 5 red, 8 green, 4 blue, 3 yellow which means the total marble is 8+4+3= 16 marbles. The chance to pick red marble then a green marble will be: