Review: Answer each question THEN click to see how smart you are!

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Independent and Dependent Events
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Presentation transcript:

Review: Answer each question THEN click to see how smart you are!

1. A dog catches 8 out of 14 flying disks thrown. What is the experimental probability that it will catch the next one? 2. At a carnival, Ted threw darts to pop balloons. If he popped 8 balloons out of 12 tries, what is the experimental probability that he will pop the next balloon? % 2323 Decide between you OR your partner. Go Check out 1 laptop total, but do NOT turn it on Find the fraction AND percent of each.

Don’t click until you have answered. Have a discussion with your partner. This should take at least 30 minutes to complete. Go slow and have a discussion before you click to see the answer.

Determine whether each event is impossible, unlikely, as likely as not, likely, or certain. B. Jason is canoeing on the river. How likely is it that he is shopping with Kevin? It is impossible that Jason is shopping with Kevin. Determine whether each event is impossible, unlikely, as likely as not, likely, or certain. C. Maureen is running with her mother. Her mother is in the park. How likely is it that Maureen is at the park? It is certain that Maureen is running at the park.

Determine whether each event is impossible, unlikely, as likely as not, likely, or certain. D. There are 12 black and 12 red checkers in a box. How likely is it that you will randomly draw a red checker? Since the number of black checkers equals the number of red checkers, it is as likely as not that you will draw a red checker. Determine whether each event is impossible, unlikely, as likely as not, likely, or certain. A. The math class has a test each Friday. Today is Friday. How likely is it that the math class will be having a test today? It is certain that the math class will have a test today.

Insert Lesson Title Here Determine whether each event is impossible, unlikely, as likely as not, likely, or certain. B. Gerald has never played two tennis matches in one day. He already played one match today. How likely is it that he will play another match? Since Gerald has never played two tennis matches in one day, it is unlikely that he will play another match today. C. Maggie has a doctor’s appointment Monday morning. How likely is it she will miss some classes Monday morning? It is likely that Maggie will miss some classes Monday morning.

Insert Lesson Title Here Determine whether each event is impossible, unlikely, as likely as not, likely, or certain. D. There are four 2’s and four 3’s in a set of 12 cards. If you draw a card, how likely is it that you will randomly draw a 3? Since the number of 2’s equals the number of 3’s, it is as likely as not that you will draw a 3 or any other number Try This One! Then determine the actual probability that you draw a card OTHER than a 2 or a 3. (fraction and percent) 4/12 or 1/3 or 33%

Troy’s science teacher almost always introduces a new chapter by conducting an experiment. Troy’s class finished a chapter on Friday. Should Troy expect the teacher to conduct an experiment next week? Explain. Real Life ! Since the class just finished a chapter, they will be starting a new chapter. It is likely the teacher will conduct an experiment.

Your Turn Insert Lesson Title Here After completing a unit chapter, Sarah’s keyboarding class usually begins the next class day with a time trial exercise, practicing the previously learned skills. It is Wednesday and a unit chapter was completed the previous day. Will the class start with a time trial exercise? If the teacher keeps to her planned schedule, it is likely the class will start with a time trial.

Continued! Determine whether each event is impossible, unlikely, as likely as not, likely, or certain. 3. Bonnie’s Spanish club meets on Tuesday afternoons. How likely is it that Bonnie is at the mall on Tuesday afternoon? 4. There are 12 SUVs and 12 vans in a parking lot. How likely is it that the next vehicle to move is a van? Insert Lesson Title Here unlikely as likely as not

Lesson Quiz: 10-1 Insert Lesson Title Here A bag holds 4 red marbles, 3 green marbles, 3 yellow marbles, and 2 blue marbles. You pull one out without looking. 1. Is it more likely to be red or blue? red 2. Is it more likely to be green or yellow? equally likely

Fraction and percent 1. In a soccer shoot-out, Bryan made 4 out of 9 goals. What is the experimental probability that he will make the next shot? 2. It has rained on the last 2 out of 10 Fourth of July parades in Swanton. What is the experimental probability that it will rain this year on July 4? 3. There have been 15 or more birds eating at a feeder at noon on 12 of the last 15 days. What is the experimental probability that there will be 15 or more birds feeding at that same time on the 16th day? % % Insert Lesson Title Here %

Lesson Quiz 10-3 Tell how large the sample space is for each situation. List the possible outcomes. 1. a three question true-false test 2. tossing four coins 3. choosing a pair of co-captains from the following athletes: Anna, Ben, Carol, Dan, Ed, Fran 16 possible outcomes: HHHH, 8 possible outcomes: TTT, TTF, TFT, TFF, FTT, FTF, FFT, FFF Insert Lesson Title Here HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT 15 possible outcomes: AB, AC, AD, AE, AF, BC, BD, BE, BF, CD, CE, CF, DE, DF, EF

Lesson Quiz 10-4 Find the probabilities. Write your answer as a fraction, as a decimal to the nearest hundredth, and as a percent to the nearest whole percent. You have 11 cards, each with one of the letters from the word “mathematics”. 1. Find the probability of drawing an m from the pile of shuffled cards. 2. Find the probability of drawing a vowel. 3. Find the probability of drawing a consonant Insert Lesson Title Here 4 11, 0.18, 18%, 0.36, 36%, 0.64, 64%

Lesson Quiz: 10-5 Part 1 Decide whether each event is independent or dependent. Explain. 1. Mary chooses a game piece from a board game, and then Jason chooses a game piece from three remaining pieces. 2. Sarah picks one item from a vending machine and then another item from a different machine. Independent; the choices do not affect one another. Dependent; Jason cannot Insert Lesson Title Here pick the same piece that Mary already chose.

Lesson Quiz: 10-5 Part 2 Decide whether each event is independent or dependent. Explain. Then Solve 3. Find the probability of spinning an evenly divided spinner numbered 1–8 and getting a composite number on one spin and getting an odd number on a second spin. Insert Lesson Title Here 3 16 independent

1.) Explain what independent and dependent events are and how they are different mathematically. 2. Find the probability of choosing a red marble at random from a bag containing 5 red and 5 white marbles and then flipping a coin TWO TIMES and getting heads, then a tails. (Hint: you should have 3 fractions) make it a percent Hint: ½ x ½ x ½ 1/

1.A reading list contains 5 historical books and 3 science-fiction books. What is the probability that Riley will randomly choose a historical book for her first report and a science-fiction book for his second? (think if this is independent or dependent?) Fraction and Percent dependent 5/8 x 3/7 15/56 about 27%