Question

which two events are independent?

a and x
a and y
b and x
b and y

Explanation:

Define the condition for independent events

Using the Independent Events and Two-Way Frequency Tables knowledge points

$$ P(E_1 \cap E_2) = P(E_1) \cdot P(E_2) $$

Calculate probabilities for A and X

Using the Two-Way Frequency Tables knowledge point

$$
LATEXBLOCK0
$$

Verify independence of A and X

Using the Independent Events knowledge point

$$ P(A \cap X) = P(A) \cdot P(X) \implies \text{A and X are independent} $$

Answer:

• (A) A and X (Correct answer)
• (B) A and Y
• (C) B and X
• (D) B and Y