If E and F are events such that PE-1-4- PF-1-2 and PE and F-1-8- find-i PE or F- ii P not E and not -F-

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Standard XII

Mathematics

Partition of Sample Space

If E and F ar...

Question

If E and F are events such that P(E) =, P(F) = and P(E and F) =, find:(i) P(E or F), (ii) P(not E and not F).

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Solution

Here, P(E) =, P(F) =, and P(E and F) =

(i) We know that P(E or F) = P(E) + P(F) – P(E and F)

∴P(E or F) =

(ii) From (i), P(E or F) = P (E ∪ F) =

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If E and F are events such that P(E) =, P(F) = and P(E and F) =, find:(i) P(E or F), (ii) P(not E and not F).

Here, P(E) =, P(F) =, and P(E and F) = (i) We know that P(E or F) = P(E) + P(F) – P(E and F) ∴P(E or F) = (ii) From (i), P(E or F) = P (E ∪ F) =

Here, P(E) =, P(F) =, and P(E and F) =

(i) We know that P(E or F) = P(E) + P(F) – P(E and F)

∴P(E or F) =

(ii) From (i), P(E or F) = P (E ∪ F) =