In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers ($1,$ $2,$ $3,$ $4,$ $5,$ $6,$ and $7$). Among all the cards of each color, there is exactly one card labeled with each number. The cards in Ms. Q's deck are shown below.
Professor Grok draws two cards from Ms. Q's deck at random without replacement. What is the probability that the first card Grok is red or green, and the second card Grok draws is odd and yellow?