Question

If P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent?

Select the option that provides both the correct answer and the correct reason.

No, because 35(13)≠18.

Yes, because 35(13)=18.

Yes, because 35+13=18.

No, because 35÷13≠18.

No, because 35+13≠18.

Answer 1

Answer:

P(A) x P(B) = 35 x 13 = 455

P(A∩B) = 18

=> P(A) x P(B) ≠ P(A∩B).

=> A and B are not independent.

=> Option A (No, because 35(13)≠18) is correct.

Hope this helps!

:)

Answer 2

A and B are not independent because 35(13)≠18), the correct option is A

What is the independent probability?

Independent events and probability can be defined as those occurrences that are not dependent on any specific event.

P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent.

It is to note here that A and B are the odd number outcome and multiples of 3 respectively. So, P (A ∩ B) = 18

P(D│E) = P (D ∩ E)/ P(B)

P(D│E) = 18/13

Here P(D) = P(D│E) = 18/13, which entails that the occurrence of event E will not be affected by the probability of event D’s occurrence.

Taking A and B as independent events, then P(D│E) = P(D).

Here, A and B are not independent because 35(13)≠18), the correct option is A.

Learn more about probability here;

https://brainly.com/question/11234923

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