Question

The probability for event A is 0.3, the probability for event B is 0.5, and the probability of events A and B is 0.25. Are the events independent?

Answer 1

Answer:

no, because p(a) times p(b) is not equal to p(a and b)

Step-by-step explanation:

so its no, and then the second option for the second box. just did the assignment so i know its right! :)

Answer 2

For this case we have to:

Two or more events are independent when the occurrence or non-occurrence of one event has no effect on the probability of occurrence of the other event.

By definition, A is independent of B if and only if:

(P∩B) = P (A) P (B)

We have to:

$P (A) = 0.3\\P (B) = 0.5$

So:

$P (A) P (B) = 0.15$

According to the statement $P (A) P (B) = 0.25$

So, the events are not independent!

ANswer:

They are not independent!