An oil company is bidding for the rights to drill a well in

field A and a well in field B. The probability it will drill a well in field A

is 40%. If it does, the probability the well will be successful is 45%. The

probability it will drill a well in field B is 30%. If it does, the probability

the well will be successful is 55%. Calculate each of the following

probabilities:

a) probability of a successful well in field A,

b) probability of a successful well in field B,

c) probability of both a successful well in field A and a

successful well in field B,

d) probability of at least one successful well in the two

fields together,

e) probability of no successful well in field A,

f) probability of no successful well in field B,

g) probability of no successful well in the two fields

together (calculate by two methods),

h) probability of exactly one successful well in the two

fields together.

Show a check involving the probability calculated in part h.