Fill in the blanks in the following table :
We need to fill the table:
i) By definition of P(A or B) under axiomatic approach we know that:
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
Using data from table, we get:
∴ P(A ∪ B) =
ii) By definition of P(A or B) under axiomatic approach we know that:
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
⇒ P(B) = P(A ∪ B) + P(A ∩ B) – P(A)
Using data from table, we get:
∴ P(B) = 0.6 + 0.25 – 0.35 = 0.5
iii) By definition of P(A or B) under axiomatic approach we know that:
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
⇒ P(A ∩ B) = P(B) + P(A) - P(A ∪ B)
Using data from table, we get:
∴ P(A ∩ B) = 0.5 + 0.35 – 0.7 = 0.15
Filled table is: