2. A single card is drawn from a deck. Find the probability of selecting the following: (Refer to Pg. 192) (Write the formula, use correct notation, and write the answer in reduced fraction form) (a) A king or a spade. (b) A spade or a heart. (c) An ace or a red card. (d) An ace and a red card. 3. If there is a 30% chance a student will fail a class at Fresno State, what is the probability that four randomly chosen students will: (Use proper notation and round to 4 decimal places if necessary) (a) All fail a class? (b) All pass their classes. 4. In a class, there are 20 students, of which eight are psychology majors. If three are selected without replacement, find the probability that (write answers in reduced fraction form) (a) All are psychology majors. (b) None are psychology majors. 5. (a) In box 1 there are 5 red balls and 2 blue balls and in box 2 there are 2 blue balls and 3 red balls. If a ball is chosen at random, what is the probability that the ball is red? (Draw a tree diagram. Write out the formula and write answer in reduced fraction form). (b) A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, find the probability that he or she will contract the disease. (Draw a tree diagram. Write out the formula and round to 3 decimal places). 6. In a class of 7 freshman and 13 sophomores, two students were selected at random. Find the probability that (Use the proper notation and write your answers in reduced fraction form) (a) Both are freshman. (b) Both are NOT freshman. 7. In a box of 15 calculators, there are 5 red calculators. If three calculators are selected at random, what is the probability that all the calculators are red? (Use the proper notation and write your answers in reduced fraction form) 8. If three cards are drawn from a deck and not replaced, find the probability of all black cards. (Use the proper notation and write your answers in reduced fraction form) 9. At the Clovis Community College, 40% of the students are freshman while 60% are sophomores. If 20% of freshman and 50% of sophomores receive financial aid, what is the probability that if one student is selected at random, that (Draw a tree diagram. Write out the formula and round to 3 decimal places). (a) The student will receive financial aid. (b) The student will not receive financial aid. 10. If there is a 40% chance that a person in Math 11 will receive an "A", what is the probability of 3 randomly selected Math 11 students NOT receiving an "A". (Use proper notation and round to 3 decimal places if necessary) 11. In a bag there are 4 blue marbles, 8 red marbles, and 5 orange marbles. If two marbles are drawn without replacement, find the probability of (Use proper notation and round to 4 decimal places) (a) both marbles are the same color (b) the second marble being red (c) the first being blue and the second being orange