Study Guide Probability SOL Summative Assessment Date:

Transcription

1 Study Guide Probability SOL 6.16 Summative Assessment Date: What do I need to know for the assessment? Identify the difference between independent and dependent events Determine the probability of independent events Determine the probability of dependent events Will I be able to use a calculator during the assessment? Yes, however, probability is generally reported as fractions so you must be able to correctly set up the problems and simplify fractions. How should I prepare for the assessment? Complete the attached practice problems. Review your class notes, classwork, and homework ASK QUESTIONS before the assessment Practice available on IXL BB.2 BB.6 BB.7 Probability of one event Identify dependent and independent events Probability of dependent and independent events

2 Probability Practice Part I: Identify independent and dependent events. Directions: Determine if the scenarios below represent independent (I) or dependent (D) events. 1) Drawing a two from a deck of cards, setting it aside, then drawing a king. 2) Franco has a bag of candy with 4 candy canes, 6 chocolate bars, and 3 caramel chews. Marcus takes a piece of candy, keeps it, and then passes the bag to Anna. Anna chooses a piece of candy. 3) Choosing an appetizer and an entrée from the dinner menu at Ruby Tuesdays. 4) Rolling a die and the number four landing face up, then rolling the die and the number 3 landing face up. 5) Laura has 8 pairs of shorts. 2 pair a white 3 pair are denim 1 pair is red 2 pair are khaki Laura is packing for a trip and she randomly chooses two pair of shorts without replacement. 6) Michael records the number of times his dog barks and spins a spinner. 7) A jar contains 8 red marbles, 12 blue marbles, and 10 green marbles. Lisa chooses a marble at random, returns the marble to the jar and chooses again. 8) In a BINGO game, the number B11 is called, then the number A3 is called.

3 Part II: Directions: Determine the probability of independent and dependent events. Determine if the events are independent or dependent, then find the probability of the event showing all work. Your answer must be in the form of a simplified fraction. 9) A number cube with the numbers 1 through 6 is rolled two times. What is the probability of rolling a 6 and then a 5? 10)In her desk Ms. Parikh has 4 blue paperclips, 3 green paperclips, and 5 white paperclips. What is the probability of picking a blue paperclip then a green paperclip without replacement? 11)Ms. Patterson has a bucket of pens with 8 blue highlighters, 7 pink highlighters, and 5 yellow highlighters. What is the probability of choosing a pink highlighter, then a yellow highlighter with replacement? 12)A deck of 50 cards contains 12 yellow cards, 17 green cards, 11 blue cards, and 10 red cards. What is the probability of randomly selecting a green card? Give your answer as both a fraction and percent.

4 13)A box contains: 5 purple marbles 3 green marbles 2 orange marbles Find the probability of each event without replacement. a) P(Orange, then Purple) b) P(Green, then Green) c) P(Purple, then not Purple) 14)Mr. Banks has 5 white shirts 4 blue shirts 3 pink shirts 2 yellow shirts If two shirts are picked at random without replacement, which situation has a probability of? a) white shirt then blue shirt b) blue shirt then pink shirt c) 2 yellow shirts d) pink shirt then yellow shirt e) white shirt then pink shirt 15)A basket contains 8 bananas, 5 oranges, and 7 apples. Which two dependent events have the GREATEST probability of happening? a) P(banana, orange) b) P(orange, orange) c) P(apple, apple) d) P(apple, banana) 16)Lauren has 6 white tops 5 blue tops 4 pink tops 3 yellow tops 2 red tops If Lauren chooses a top, then replaces the top, and chooses another top, which two situations have the same probability? a) (red top, yellow top) b) (blue top, red top) c) (yellow top, pink top) d) (pink top, red top) e) (red top, white top) f) (yellow top, white top)

5 Answer Key 1) Dependent 2) Dependent 3) Independent 4) Independent 5) Dependent 6) Independent 7) Independent 8) Dependent 9) Independent, 10) Dependent, 11) Independent, 12) 13) Dependent; (a) ; (b) ; (c) 14) D 15) D 16) C and E