If E and F are events such that `P(E)=1/4, P(F)=1/2` and `P(E"and"F)=1/8`, find (i) `P(E"or"F)` (ii) `P` (not E and not F).

Answer

N/a

Explanation

Here `P(E)=1/4, P(F)=1/2` and `P(EnnF)=1/8`
(i) `P(E "or"F)=P(EuuF)`
`=P(E)+P(F)-P(EnnF)`
`=1/4+1/2-1/8`
`=(2+4-1)/8=5/8`
(iii) `P` (E -not and F-not) `=P(E'nF')=P(EuuF)'`
`=1-P(EuuF)`
`=1-5/8=3/8`