1. True or False: Probability of any event can be any real number. 2. True or False: The sum of all probabilities of all events in an experiment is always 1. 3. When P(A) = 1, then event A is considered a event. 4. When ['04) = 0, then event A is considered a event. 5. If event A is considered a rare event, what is P(A)? 6. If events A and B are considered independent events, what is P(A and B)? 7. Ifevents A and B are considered mutually exclusive events, what is P04 and B)? 8. If P( A) = -, find P(A). 9. If P(A) = 0.025, find P(A). 10. What is the probability of selecting a face card or a red card randomly from a deck of playing cards? 11. What is the probability of selecting a red face card randomly from a deck of playing cards?12. If a 25-sided fair die that is numbered from 1 to 25 is rolled once, find the probability of getting a number (a) less than 5 or at least 20. Show your work in details. (b) less than 5 and at least 20. Show your work in details. 13. In a survey of 45 students, 35 students were taking Math or English class while 12 of them were taking both classes and 5 were taking only Math class. (a) Use this information to construct the Venn Diagram for the number of students in each region. (b) What is the probability of selecting one of these students who is taking only one of these classes, not both?14. A survey was conducted about certain issue, the result is summarized below: YES NO Total If one person is randome selected, nd the probability that (a) this person was female and had a yes respond. (b) this person was a female or had a yes respond. (6) this person was a female given it was a yes respond. (d) this person was a yes given it was a respond from a female. (8) this person was a NO given it was a respond from a male