### Answer to Question #95540 in Statistics and Probability for Kenny

# Answer to Question #95540 in Statistics and Probability for Kenny

**Category:
Answers>Math>Statistics and Probability **

The probabilities that John will choose Physics, Chemistry and Biology in the summer

semester are 0.4, 0.7 and 0.6, respectively. If John has decided to choose Physics, the

probabilities of choosing Chemistry and Biology are increased to 0.8 and 0.75,

respectively. On the other hand, if he has decided not to choose Biology, the probability

of choosing Physics only becomes 0.05. The probability that John will choose both

Chemistry and Biology but not Physics is 0.15.

(a) What is the probability that John will choose Physics only?

(b) What is the probability that John will choose all three courses?

(c) What is the probability that John will not choose any course in the summer

semester?

Define events:John will choose Physics = John will choose Chemistry = John will choose Biology = Let probability of event A = , and is complement of set A.Conditional probability But Therefore and problem conditions contradict each other, hence problem has no solution.