Consider two events MMM and NNN with P(M)=0.45P(M) = 0.45P(M)=0.45, P(N)=0.35P(N) = 0.35P(N)=0.35, and P(M∣N)=0.2P(M|N) = 0.2P(M∣N)=0.2. What is the probability P(M∩Nc)P(M \cap N^c)P(M∩Nc)?
0.38
0.45
0.52
0.15