In order to win the board game he is playing, Taylor needs two things to happen. First, he is going to roll a six-sided die and needs to roll number greater than 2. Second, he has to draw a card from a deck of numbered cards. The deck contains cards with the numbers 1-20 on them. There is one card with each number. He needs to draw a number that is a multiple of 4. What is the probability that he is going to win the game? Express your answer in the form of a simplified fraction.

Write your answer and explain in detail, how you arrived at the answer in the box below.