Question

If p(E)=3/4 then find the value of p(Ē)

Answer 1

P(not E ) = 1 - p(e)
1 - 3/4 = 4-3/4 = 1/4

Answer is 1/4

Answer 2

If P(E) = 3/4 then P(Ē) = 1/4

Given :

P(E) = 0.04

To find :

The value of P(Ē)

Solution :

Step 1 of 2 :

Write down the given probability

Here it is given that for the event E

P(E) = 3/4

Step 2 of 2 :

Find the value of P(Ē)

We know that for any event E ,

P(E) + P(not E) = 1

In order words P(E) + P(Ē) = 1

Thus we get

P(E) + P(Ē) = 1

⇒ 3/4 + P(not E) = 1

⇒ P(Ē) = 1 - 3/4

⇒ P(Ē) = 1/4

Hence the required P(Ē) = 1/4

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