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If E and F are events such that P(E)=1/...

If E and F are events such that `P(E)=1/4,P(F)=1/2`,and `p(E and F)=1/8`. find P(E or F).

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Given .P(E)=1/4 cdot P(F)=1/2, P(E. and .F)=1/8. i) .P(E. or .F)=P(E uu F)=P(E)+P(F)-P(E nn F)=1/4+1/2-1/8=6/8-1/8=5/8. ii) .P(. not .E. and .not F)=P(. nơt .E nn not F)=P(E^(prime) nn F^(prime))=P(E uu F)^(prime)=1-P(E uu F). .. =1-5/8=8/8-5/8=3/8 ..
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