P (L l R) = P(L and R) / P(R)
Rearranging this, we have
P(R) = P(L and R) / P(L l R )
P(R) = 0.03 / 0.0625
Second one
P(Single l Has Pet ) = 16 / (16 + 24) = 16/40 = 2/5 = .40
P (Single l Has No Pet ) = 12 / (18 + 12) = 12 / 30 = 2/5 = .40 true
P (Married l Has No Pet ) = 18 / (18 + 12) = 18 /30 = 3/5 = .60
P(Married l Has Pet ) = 24 / ( 24 + 16) = 24 / 40 = 3/5 = .60 true
RP....I believe that C is correct for the last one....for instance
If P( Q) = .30 and P (T) = .40
Then
P(Q l T) = P (Q and T ) / P(T) = .12/ .40 = 0.3
But
P( T l Q ) = P(Q and T) / P(Q) = .12 / .30 = 0.4