We draw the top 7 cards from a well-shuffled standard 52-card deck. Find the probability that:

1. The 7 cards include exactly 3 aces.
2. The 7 cards include exactly 2 kings.
3. The probability that the 7 cards include exactly 3 aces. or exactly 2 kings, or both.

Check here the definiton of a standard deck of 52.

A standard deck has 52 cards, divided into 4 suits (hearts ♥️, diamonds ♦️, clubs ♣️, spades ♠️), each with 13 ranks (A(ce), 2, …, 10, J(ack), Q(ueen), K(ing)). The cards J, Q, and K are called face cards. Suits are broken into two colors: red and black. Each color has two suits: hearts ♥️ and diamonds ♦️ in red, and clubs ♣️ and spades ♠️ in black.