Question

If P(A) = 0.3 and P(B) = 0.6 what is P(A or B) if the two events are independent?

Answer 1

Answer:

P(A or B) is 0.72

Step-by-step explanation:

Given : P(A) = 0.3 and P(B) = 0.6

To Find:P(A or B) = P(A∪B)

Solution :

We are given that A and B are two independent events

Property : If A and B are independent events then $P(A \cap B) = P(A) \times P(B)$

So, $P(A \cap B) = P(A) \times P(B)$

$P(A \cap B) =0.3 \times 0.6$

$P(A \cap B) =0.18$

Formula : $P(A \cup B)=P(A)+P(B)-P(A \cap B)$

$P(A \cup B)=0.3+0.6-0.18$

$P(A \cup B)=0.72$

Hence P(A or B) is 0.72