Suppose
60% of the apples in an orchard are Red Delicious, 3% of the Red
Delicious
                    apples
are wormy and 20% of the wormy apples are Red Delicious. Suppose an
apple
                    is
randomly selected from the orchard. Let
                    A
= (the randomly selected apple is Red Delicious)
                    B
= (the randomly selected apple is wormy)
                    Find
the following probabilities:
                

                
                    P(A),
P(AnB), P(A|B), P(B|A), P(B),
                    P(AnB^c),
P(A^c n B), P(A^c|B), P(A|B^c),
                    P(exactly
one of the two but not both),
                    P(B^c|A),
P(B|A^c), P(A^c|B^c),
                    P(
none of the two, Red Delicious or wormy),
                    P(
Red Delicious or wormy).