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

C

Explanation:

edg 2020

Answer 2

Since
`P(A \cap B) \\eq P(A)P(B)`, these events are not independent.

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) \\eq P(A)P(B)`, these events are not independent.