7.5 Exercise 3

Recall that a standard deck of cards consists of 52 unique cards which are labeled with a rank (the whole numbers from 2 to 10, plus J, Q, K, and A) and a suit ($♣$, $♢$, $♡$, or $♠$). A standard deck is thoroughly shuffled, and you draw one card at random (so every card has an equal chance of being drawn). Find the theoretical probability of each of these events:

1. The card is $10 ♠$.
2. The card is a $♡$.
3. The card is a king (K).