2. The grease firm 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, 22 Basic Probability 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 3. Among a group of 60 engineering students, 24 take math and 29 take physics. Also, 10 take both physics and statistics, 13 take both math and physics, 11 take math and statistics, and 8 take all three subjects, while 7 take none of the three. a. How many students take statistics? b. What is the probability that a student selected at random takes all three, given he takes statistics