Step 1 :The total number of cards in the deck is the sum of the number of red, blue, and green cards. There are 5 red cards, 2 blue cards, and 6 green cards, so the total number of cards is 13.
Step 2 :The probability of drawing a red card is the number of red cards divided by the total number of cards. So, the probability is \(\frac{5}{13}\).
Step 3 :Final Answer: The probability that the card is red is \(\boxed{\frac{5}{13}}\).