Question

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1. Why are the events are not independent?

Answer 1

Answer:

Since $P(A \cap B) \neq P(A)P(B)$, these events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

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

In this question, we have that:

$P(A) = 0.4, P(B) = 0.2, P(A \cap B) = 0.1$

However

$P(A)P(B) = 0.4*0.02 = 0.08$

Since $P(A \cap B) \neq P(A)P(B)$, these events are not independent.

Answer 2

Answer:

C

Step-by-step explanation:

edg 2020