If `Aa n dB` are mutually exclusive events such that `P(A)=0. 35a n dP(B)=0. 45` , find `P(AuuB)` (ii) `P(AnnB)` (iii) `P(A nn B^prime )` (iv) `P( A^prime nn B^prime )`

Explanation

We know that,
i)`P (A ∪ B) = P (A) + P (B) – P (A ∩ B)`

⇒ P (A ⋃ B) = `0.35 + 0.45 – 0 [given] `

⇒ P (A ⋃ B) = `0.80`


ii)It is given that A and B are mutually exclusive events. ∴ P (A ⋂ B) = 0`
`

iii)P (A ⋂ B’) = P (A) – P (A ⋂ B)
= 0.35 – 0 = 0.35



iv)P (A’ ⋂ B’) = P (A ⋃ B)

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