Name: 1. A prize is given for the first person to draw a red marble out of box that they can't see inside. The organizers put 120 yellow marbles, 210 blue marbles, 301 green marbles, and 7 red marbles in the box. What is the probability that a given person will not receive a prize? Show your work. (2 marks) A) 0.072 B) 0.011 C) 0.989 D) 0.928 Use the following to answer the next 2 questions. An insurance company studies crime records, and determines that in any given year, the probability of a house burglary in Community A is 0.2, whereas the probability of this happening in Community B is 0.15. Mr. Smith lives in Community A, and Mr. Jones lives in Community B. 2. What is the probability that neither of the two men will be burglarized this year? Show your work. (2 marks) A) 0.03 B) 0.29 C) 0.32 D) 0.68 3. What is the probability that just one of the two men will be burglarized this year? Show your work. (2 marks) A) 0.03 B) 0.29 C) 0.32 D) 0.68Name: Use the following to answer the next question. For two events, P(A)-4 and P(B ) - 3 4. Assuming that the events are mutually exclusive, what is P(A or B)? Show your work. (2 marks) A) 0.08333 B) 0.14286 C) 0.58333 D) 0.50000 5. Assuming a regular deck of 52 cards, what is the probability (to the nearest thousandth) of not drawing a face card? Show your work. (2 marks) A) 0.077 B) 0.231 C) 0.769 D) 0.923 6. Statistics show that 6 out of 25 car accidents are weather-related. The odds that a car accident is weather-related can be expressed in the form a:b. The values of a and b are, respectively, and . (1 marks) A) 6 and 25 B) 25 and 6 C) 6 and 19 D) 19 and 6 2