1. When throwing a dice, what is the probability of getting a) A 6? b) A number less than 3? c) A number greater than 4? 2. When two dices are thrown, what is the probability that the total will be an even number? 3. If a coin is tossed three times, what is the probability of getting a) 2 heads? b) At least 2 heads? 4. Suppose A and B are events with P(A)= 0.3, P(B)= 0.5, and P(ANB)= 0.2. Find the probability that a) A does not occur b) B does not occur c) A or B occurs 5. Events A and B are such that P(A) = P(B) = and P(A U B) = Find P(ANB). 6. The probability that candidate A will fail a certain job interview is 0.3 while the probability that candidate B will fail the job interview is 0.4. The probability that both A and B will fail the job interview is 0.05. What is the probability that at least one of these two candidates will fail the job interview? 7. Let A and B be independent events in a sample space S with P(A) = 0.3 and P(B) = 0.9. compute the following probabilities: a) P (ANB) b) P(AUB) c) P(A'n B) 8. In a business course in a college, 90% of the students passed Mathematics, 95% of the student passes Management, and 88% passes both Mathematics and Management. A student is selected at random. a) What is the probability that the student passed Mathematics or Management? b) What is the probability that the student passed neither Mathematics nor Management?