Question

Determine if events A and B are independent.

Answer 1

Answer:

B) Independent

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

$P(A \cap B) = P(A) \times P(B)$

In this question:

$P(A \cap B) = \frac{63}{200}$

$P(A) \times P(B) = \frac{9}{20}*\frac{7}{10} = \frac{9*7}{20*10} = \frac{63}{200}$

Since $P(A \cap B) = P(A) \times P(B)$, these events are independent.