URGENT!!!! PLEASE HELP!!!!

MDM 4U1 TEST Name Probability Date I 13 Knowledge _ B 1. Given the diagram to the right. Determine the following: a) HA) b) PU?) c) P(AnB) d) P(AUB) [1.1.1.1] 2. Determine the probability of drowing 2 diamonds from o well-shuffled deck, without replacement. [2] 3. A card is drown from o standard deck of cards, determine the probability that it is a queen or a club? [2] 4. There are 3 cards that are black on one side and white on the other. Draw a tree diagram and an outcome table below to illustrate all the possible outcomes of face up colours. Determine the probability that: [2] o) exactly two cards are showing white? [I] b) at least two cards are showing black given the third is showing black? [2] Application 1. Of the 160 grade 12 students, 87 have a part-time job, 71 have all their community service hours, and 55 do volunteer work. 33 students have a part-time job and all their community service hours, 26 have a part-time job and do volunteer work, 19 do volunteer work and have all their community service hours, and 3 students are involved in all three. a} Illustrate the scenario with a Venn diagram. [4] b) How many students are not involved in any of these? [11 Z. 65 students from grade 12 register for a universities' fair. 25 of them register for the full two days and the rest just register for one day. 20 students from grade 11 register for the same conference but only 12 of them register for one day and the rest register for the full two days. a} If someone arrives who has registered for the full two days has just arrived at the front desk. What is the probability they are in grade 11? [21 b) If someone arrives who is in grade 12, what is the probability they have registered for one day only? [2] Thinking 1. J on's grandfather is very moody. If he takes his medication one day the probability he will take his medication the next day is 0.45. If he does not take his medication one day the probability he will take his medication the next day is 0.7. Jon's grandfather W120 mm. Make a tree diagram, then determine the probability that he will take his medication on Saturday? [3. 3] Communication 1. Explain how you could conduct a simulation to determine the probability of getting at least 40 out of 50 multiple choice questions (5 options for each question) right on a test. [3] 2. There are two events, A and 3. HA) = i , 19(3):; and PM 03) = % Are events A and B dependent or independent events? Explain. [2]