probtest May2021 v3

MDM 4U1 Bishop Tonnos CSS Probability Test Mr. Fournier May 2021 1 QUEST # 2: PROBABILITY Name: _________________________________ _____________________________________________________________________________________ KNOWLEDGE & UNDERSTANDING Short Answer 1. Match each of these terms with one of the phrases below. [8] (a) trials (e) complement (b) theoretical probability (f) subjective probability (c) sample space (g) events (d) experimental probability (h) outcomes ____ deduced from analysis of all possible outcomes ____ the set of all possible outcomes ____ repetitions of a probability experiment ____ the outcomes not included in a particular event ____ based upon intuition and previous experience ____ a specific group of outcomes that is being investigated ____ actual experimental probability ____ the different results of a probability experiment 2. The probability of rain tomorrow is 0.45, therefore the probability that it won’t rain is [1] 3 . The probability of being born on a Monday is [1] 4 . If the odds in favour of an event occurring are 1:7, what is the probability of that same event occurring? [1] 5 . The probability of getting tails when tossing a two-sided coin, two times in a row is [1] Short Answer: 6. Given: P(A) = 0.55, P(B) = 0.23, P(A  B) = 0.14, find the probability of each of the following: (a) P(A ′ ) [1] (b) P(A  B) [2] (c) odds against B [2] _____ _____ _____ _____ 25 K 26 A 5 T 4 C

MDM 4U1 Bishop Tonnos CSS Probability Test Mr. Fournier May 2021 2 7. If a pair of six-sided dice are tossed, what is the probability , that the sum of the faces showing, is less than 5 or you get a 3 on only one of the dice? [4] 8. A soccer player takes a total of three penalty kicks from the penalty line and the out come is noted each time as a goal ( G ) or a miss ( M ). Use a tree diagram to list the sample space for this experiment. [2] a. What is the probability that the player has more goals than misses ? [1] b. What is the probability that the player has exactly one miss ? [1]

MDM 4U1 Bishop Tonnos CSS Probability Test Mr. Fournier May 2021 4 12. Adam is working on his ISU and has decided to conduct a survey on homework, grades, university acceptance, extra-curricular activities, and p arent’s education le ve l at Bishop Tonnos C.S.S. Adam made up a question on each topic for his survey and asked various students. If the questions are arranged in random order, find the probability that the question about homework will always immediately precede the question about extra-curricular activities ? [4] 13 . Mr. Fournier ’s period 2 Data Management class has an 84% of achieving a level three/four on this probability test. His class from last semester had an 78% chance of achieving level three/four.. Find the probability that both classes achieve level three/four. [2] 14. A survey found that of 32 fast-food restaurants, 18 were pizza parlors, 11 did not sell alcohol and 5 were pizza parlors that did not serve alcohol. Determine the probability that if one restaurant is chosen at random, it is a pizza parlor or does not serve alcohol. [3]

MDM 4U1 Bishop Tonnos CSS Probability Test Mr. Fournier May 2021 5 15. A teacher collected data about how long students in two of her classes spent studying for their data management test. The table shows the results of students studying for 4 hours or more, Yes No Period 1 13 17 Period 5 14 15 Find the probability that the student selected said no given that they were from period 5. [2] 16. You draw a card at random from a standard deck of 52 cards. Find the probability that it is a queen, given that it is black. [3] 17. There are 19 names in a hat, 13 are males and 6 are females. 5 names are drawn. What is the probability that at most one female is drawn? [3]

MDM 4U1 Bishop Tonnos CSS Probability Test Mr. Fournier May 2021 7 THINKING: 5 MARKS 19. Consider an experiment that consists of 9 horses, numbered 1 through 19, running a race. Let H be the event that the horse named HANTZELis among the top three finishes. Let G be the event that the horse named GRETEL comes in 2 nd place. Find P(H or G) (i.e HANTZEL comes in the top three among the ten racing or GRETEL comes in 2 nd place among the nine racing ).