Question

if a and b are independent events with P(A)=0.4 and P(B)=0.25 then P(A U B ) is

Answer 1

Answer: 0.55

Step-by-step explanation:

Given : P(A)=0.4

P(B)=0.25

Formulae :

P(A U B ) = P(A) + P(B) - P(A n B )

P(A n B ) = P(A) * P(B)   { as A and B are independent events }

Solution :

P(A n B ) = 0.4 * 0.25 = 0.1

P(A U B ) = P(A) + P(B) - P(A n B )

              = 0.4 + 0.25 - 0.1

P(A U B) = 0.55