Answer: 1/24
Explanation:
Total number of cards = 5 + 6 + 2 + 3 = 16.
Probability of choosing a green card = 2/16 = 1/8 (since there are 2 green cards out of 16 total cards).
Now, we do not replace the green card, so there are only 15 cards left in the deck.
Probability of choosing a red card given that we already chose a green card and did not replace it = 5/15 = 1/3.
Thus, the probability of choosing a green card and then a red card is:
1/8 x 1/3 = 1/24
Therefore, the probability of choosing a green card, NOT replacing it, and then choosing a red card is 1/24.