Q. 1 C5.0( 2 Votes )

# Fill in the blanks in the following table :

Answer :

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:

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