Question

If probability of occurrence of an event E is thrice
the probability of non-occurrence of the same event,
then find the value of P(E).
​

Answer 1

Answer:

P(E) = 3/4

Explanation:

Let,

P(occurrence of an event) or P(E) = x.

P(non-occurrence of the event) = y.

Given,

x = 3y.

So,

x - 3y = 0 -------(1st equation)

We also know that,

The sum of both probabilities is equal to 1.

So,

x + y = 1 ---------(2nd equation)

(2nd Equation) - (1st Equation) ====>

x + y - (x -3y) = 1 - 0

x + y - x + 3y = 1

4y = 1

y = 1/4.

Substituting y = 1/4 in 2nd Equation,

x + 1/4 = 1

x = 1 - 1/4 = 3/4.

So,

P(E) = x = 3/4.

Hope this helps!!!!!

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