Question

If A and B are exhaustive events, then P(AUB) is........​

Answer 1

Since P(A) and P(B) are two mutually exclusive and exhaustive events, P(A)+P(B)=1 and P(B)=3P(A)

⇒P(A)+3P(A)=1

⇒4P(A)=1

⇒P(A)=1 upon 4

⇒P(B)=1−1 upon 4 =3 upon 4

⇒ P(B)=1-3upon 4=1 upon 4

So, your answer is 1 upon 4

Answer 2

If A and B are exhaustive events then P(A ∪ B) = 1

Given :

A and B are exhaustive events

To find :

The value of P(A ∪ B)

Solution :

Step 1 of 2 :

Define exhaustive events

Two events A and B are said to be exhaustive events if A ∪ B = S

Step 2 of 2 :

Find the probability

Thus we have

P(A ∪ B)

= P(S)

= 1

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