Exercise 11 1 . If A and B are two events and P(A) = 0.6 and P (B) = 0.3 and P( A UB ) = 0.8, find: (a) P(AnB) (b) P( A'n B ) (c ) P(AnB' ) (d) P(A'nB') (e) P(AUB' ) ( f ) P( A'UB ) 2. The events M and N are such that P(M) = P (N) = 2 P(Mn N). Given that P (MUN) = 0.6, find: (a) P(MON) ( b ) P(M) (c) P(M'N' ) (d) P(MON) 3. An ordinary die is thrown. Find the probability that the number obtained is: (a) even, (b) prime (c) even and prime (d) even or prime4. In a group of 30 students all study at least one of subjects: physics and biology. 20 attend the physics class and 21 attend the biology class. Find the probability that a student chosen at random studies both physics and biology. 5. From an ordinary pack of 52 playing cards the seven of diamonds has been lost. A card is dealt from the well-shuffled pack. Find the probability that it is: (a) a diamond, (b ) a queen, (c) a diamond or a seven