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Name _______________________________ Probability Exam Review Sheet Date _____ Class _____ Mr. Lynch *** Go over the notes you took during class and old quizzes! *** Convert all fractions to decimals (on test)! 1) If the probability of an event occurring is 1/17. What is the probability of the event not occurring? 2) A bag of marbles has 7 blue marbles and 9 green marbles. What is the probability of getting no blue marbles? 3) If the probability of an event is p, what is the probability that the event will not occur? 4) If a letter is chosen at random from the word "DICTIONARY", what is the probability of selecting an "I"? 5) The probability of an event occurring is 0.36. What is the probability of the event not occurring? 6) If a card is drawn at random from a standard deck of 52 cards, what is the probability of selecting a red 9? (Reduce to lowest terms if possible!) 7) If a card is drawn at random from a standard deck of 52 cards, what is the probability of selecting a picture card? (Reduce to lowest terms if possible!) 8) You roll a fair die. What is the probability of getting an even number? 9) You toss a fair coin. What is the probability of getting a tail? 10) If an event will definitely not occur. What is the probability of this event? 11) You select a card at random from a standard deck of cards. After you select the 1st card, you replace the card and select another. Find the probability of selecting an ace and a 5. 12) You select a card at random from a standard deck of cards. After you select the 1st card, you do not replace the card and select another. Find the probability of selecting a king and a jack. 13) Evaluate each of the following: a) 6! b) 8!/3! c) 10!/2!2!2! d) 10P6 e) 7C5 14) Hassett wants to download music illegally on Limewire. Hassett will choose between 3 rap artists (Soulja Boy, 50 Cent, Lil’ Wayne), 4 boy band albums (NKOTB, Backstreet, N'Sync, 98°) and 3 metal albums (Metallica, ACDC, & Black Sabbath). Construct a tree diagram to display all possible outcomes. Find: a) P(ACDC) b) P(Lil’ Wayne & 98°) c) P(50 Cent or ACDC) d) P(I Make it Rain) 15) Stackpole has to choose an outfit for the upcoming Freshmen Winter Mingle. He has a choice of 5 pairs of pants, 3 sneakers, and 6 hats. How many possible outfits can Stackpole wear? 16) Find the number of permutations of each of the following: a) REVIEW b) EXAMINATION c) STATISTICS 17) Lizbeth selects players for her team. She pays no attention to the positions individuals will play while making the first selection. Of 14 candidates, Lizbeth needs 11 for her team. How many teams can be formed? 18) A lottery ticket contains a four-digit number. How many possible four-digit numbers are there when a digit may only appear once in the number? 19) Define as CRV or DRV: a) Time it takes to get to school. b) Number of people in this class. c) Distance from here to Cherry Valley. 20) The army gives a battery of tests to all new recruits. One exam measures a person’s ability to work with technical machinery. This exam was given to a random sample of 360 new recruits. The results are shown below, where x = score on a ten point scale and f = frequency of new recruits with this score. x f 1 28 2 42 3 79 4 83 5 51 6 36 7 18 8 12 9 7 10 4 a) If a person is chosen at random from those taking the test, use the relative frequency of test scores to estimate P(x) as x goes from 1 to 10. b) Use a histogram to graph the probability distribution of part a. c) The ground-to-air missile battalion needs people with a score of seven or higher on the exam. What is the probability that a new recruit will meet the requirement? d) The kitchen battalion can use people with a three or less. What is the probability that a new recruit is not overqualified for this work? e) What is the expected value? the standard deviation? variance?