A manufacture conducted a survey to determine how many people products P & Q. What fraction of the people surveyed said that they buy neither product P nor Product Q?
1) 1/3 of the people surveyed said they buy product P but not Q.
2) 1/2 said they buy product Q.
I am trying to use the P U Q = P + Q - (P n Q) + neither P nor Q. Can someone provide more guidance on this question?
First, The formula written by you is wrong .... its just P U Q = P + Q - (P n Q)
if you have to include 'neither P nor Q' then the LHS will be 'All', not PUQ.
statement 1 : P - PnQ = 1/3
statement 2 : Q = 1/2
as per formula : All = P + Q - PnQ + neither P nor Q
1 = 1/2 + 1/3 + neither P nor Q ------------- using both (1) and (2)
'neither P nor Q' can be determined ---- answer C