In the following exercise, a standard deck of cards is split into 2:

Deck D1 contains all face cards (4 Jacks, 4 Queens and 4 Kings, a total of 12 cards),

Deck D2 contains all number cards (4 Aces, 4 Twos, and 4 Tens, a total of 40 cards

We roll two fair dice. If the number from the two dice added up is >2, we then draw two cards from D1 (without replacement), otherwise we draw one card from D1 and one card from D2 .

What is the probability of drawing at least 1 face card?

Can you please provide the correct answer to 4 decimal places .