Q9 of 158 Page 34

If E and E2 are independent events, write the value of

As E1 and E2 are independent events.


∴ P((E1∪ E2)∩(E1’ ∩ E2’))


As by De Morgan’s law.


E1’ ∩ E2’ = (E1∪ E2)’


∴ P((E1∪ E2)∩(E1’ ∩ E2’)) = P((E1∪ E2)∩(E1∪ E2)’)


⇒ P((E1∪ E2)∩(E1∪ E2)’) = P(empty set) = 0


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