Q14a. What is the probability that the card selected is either a queen or a black card?

Background

Topic: Probability with a Standard Deck of Cards

This question tests your understanding of the addition rule for probability, especially when events are not mutually exclusive (i.e., some cards may be both queens and black cards).

Key Terms and Formulas:

• Mutually Exclusive Events: Events that cannot happen at the same time.

• Addition Rule for Probability (Not Mutually Exclusive):

• Standard deck: 52 cards, 26 black (spades and clubs), 4 queens (2 black, 2 red).

Step-by-Step Guidance

1. Identify the total number of cards in the deck: 52.

2. Count the number of queens in the deck: 4.

3. Count the number of black cards in the deck: 26.

4. Determine how many cards are both queens and black cards: 2 (queen of spades and queen of clubs).

5. Set up the addition rule formula:

6. Plug in the values for each probability, but do not calculate the final answer yet.

Try solving on your own before revealing the answer!