Mark (√) against the correct answer in each of the following: If A and B are independent events such that P(A) = 0.4, P(B) = x and P(A ∪ B) = 0.5, then x = ?

Question

Philoid · Accepted Answer

As A and B are independent events such that P(A) = 0.4, P(B) = x

So, P(AB) = P(A)P(B)

And P(A B) = P(A)+P(B)+P(AB)

P(A B) = 0.4 + X - 0.4X = 0.5

⇒ 0.4 + 0.6X = 0.5

⇒ X = 1/6

Mark (√) against the correct answer in each of the following:If A and B are independent events such that P(A) = 0.4, P(B) = x and P(A ∪ B) = 0.5, then x = ?

Mark (√) against the correct answer in each of the following:
If A and B are independent events such that P(A) = 0.4, P(B) = x and P(A ∪ B) = 0.5, then x = ?