Question

A and B are two events. P(A)=0.5 , P(B)=0.4 and P(A and B)=0.3 . What is the value of P(A or B) ?

Answer 1

Answer: 0.6

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.5 + 0.4 - 0.3

P(A or B) = 0.9 - 0.3

P(A or B) = 0.6

Answer 2

Answer: The required value of
`P(A\cup B).` is 0.6.

Step-by-step explanation: Given that A and B are two events such that

`P(A)=0.5,~~P(B)=0.4,~~P(A\cap B)=0.3.`

We are to find the value of
`P(A\cup B).`

From the laws of probability, we have

`P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.5+0.4-0.3=0.9-0.3=0.6.`

Thus, the required value of
`P(A\cup B).` is 0.6.