1. Theoretical probability is what should happen (based on math), while probability is what actually happens.
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1 Name: Date: / / QUIZ DAY! Fill-in-the-Blanks: 1. Theoretical probability is what should happen (based on math), while probability is what actually happens. 2. As the number of trials increase, the experimental probability will come closer to the probability. For the following situations, decide whether they describe an experimental OR theoretical probability situation: SITUATION E or T 3. If Gary played 12 games of Connect Four and won 10 of them, finding the probability that he will win the next game played. 4. Finding the probability that Leslie will get a # greater than 3 with one roll of a number cube. Short Answer: 5. There are 5 red M&M s, 7 yellow M&M s, 10 green M&M s, and 8 orange M&M s in a bag. What is the probability of randomly selecting a green M&M P(green)? 6. On a standard number cube (numbered 1-6), what is the probability of rolling a 4 or 5 P(4 OR 5)? 7. Scott is attempting a new skateboard trick. If he lands 6 out of 8 attempts, what is the experimental probability that he will land his next attempt? Hint: What are the RESULTS of the experiment??
2 8. Jenny spun the below spinner 40 times, and landed on 6 ten times. Compare the experimental probability with the theoretical probability. Experimental Probability: What ACTUALLY happened... Theoretical Probability: To make easier, write probability for getting a 6 in ONE SPIN! Compare: 9. If a standard number cube is rolled 40 times, what is the expected number of times a 4 will land face up (round to nearest whole number)? (set up a proportion) Start your proportion with the probability of rolling a 4 in ONE roll... Fundamental Counting Principle: Multiply the outcomes! 10. How many total outcomes for flipping a coin and rolling a number cube? 11. How many unique five-letter codes exist if the choices are A, B, or C... and each letter can be repeated more than once?
3 Name: Date: / / To receive FULL CREDIT: 10 pt. Grade 1) Do stops FIRST, followed by other stops (in any order)! 2) MUST always be working on one of the tasks below, making GOOD use of time. 3) MUST sign your name at SUCCESSFUL completion of each task. Assignment: Practice Stop Work with a partner to complete the attached Probability of Compound Events Activity. Your answers should match. If they do not, ask your teacher for help. Student signature: Stop Which choice illustrates the Associative Property of Addition? A) 8+ (3 + 7) = 8 + (7 + 3) B) 8 + (3 + 7) = (3 + 7) + 8 C) 8+ (3 + 7) = (8 + 3) + 7 (Get your answer checked when you get your individual practice checked.) UNIT 9, DAY 3 Practice Stop Assignment: Complete the attached Similar Figure Review Activity. Check answers with teacher. Practice Stop Assignment: Earn 70% or higher on the following MathGames.com assignments: Compound Events: Find the Number of Outcomes (7.34) and Counting Principle (7.73) Student signature: Stop Do your best on today s quiz! Student signature: Student signature: Student signature: Stop How many squares? STOP Complete any of the back table puzzles/ games/ activities. Actively participate in lesson by listening, answering questions, and filling in the notes. Student signature: Student signature: Student signature:
4 NAME: DATE: / / Practice Stop probability of compound events Each partner solves his/her own problems. Then they check them together. The answers should match! FUNDAMENTAL COUNTING PRINCIPLE: PARTNER A: PARTNER B: 1. How many total outcomes for flipping two coins and rolling a number cube? 1. How many total outcomes for spinning a spinner with 4 equal sections and rolling a number cube? 2. How many unique three-letter codes exist if the choices are A, B, C, D, E, F, G, H or I? 2. How many unique three-digit locker combinations exist if the choices are 1-9? TREE DIAGRAM: An automobile dealer has cars available with the combinations of colors, engines, and transmissions indicated in the following tree diagram. A selection is made at random. PARTNER A: 3. What is the probability of selecting a car with manual transmission? PARTNER B: 3. What is the probability of selecting a car with a 6-cylinder engine? 4. What is the probability of selecting a blue car with a 4-cylinder engine? 4. What is the probability of selecting a red car with automatic transmission?
5 Name: Date: / / 7.5 in Practice Stop 1) These two buildings are similar. Using a proportion, find the height of the larger building. = 2) What is the angle measure of K? 3) Are the following figures similar? (Yes or No) = 4) Which of the proportions below could be used to solve for n? = 4 n = n 4 3 = n
6 Name: Date: / / What: Why: probability of compound events... so I can calculate the probability of compound events. Vocabulary: Two events are when the outcome of one event does NOT affect the outcome of the other event. Two events are when the outcome of one event DEPENDS on the outcome of the other. In other words, the first event the outcome of the second event. Scenario 1. Out of a bag of 20 marbles, calculating the probability of picking a red marble, setting it aside, and picking a green marble. Dependent or Independent? 2. When flipping a coin and rolling a die, calculating the probability of getting heads and a Out of a bucket of tootsie pops, calculating the probability of picking a cherry, putting it back in the bucket, and then picking an orange. 4. When flipping three coins at once, calculating the probability of getting three heads in a row. 5. From a standard deck of cards, calculating the probability of picking a red Queen, keeping it, and then picking a black Jack. 6. From a standard deck of cards, calculating the probability of picking a diamond, replacing the card, and picking the six of hearts.
7 : INDEPENDENT EVENTS Examples:
8 What if we did a Tootsie Pop pick, but did not put the tootsie pops back in the bucket?? : DEPENDENT EVENTS Examples: 1) What if we tried to pick two grapes in a row without replacing the first grape(using the above numbers from our tootsie pop bucket)?? 2) Without replacing any letters, Jane will pick two letters from a bag containing the following choices: Answer the following: M-A-T-H-I-S-C-O-O-L a) P(two vowels in a row) b) P(M, then C) WRAP-IT-UP / SUMMARY: 1) What is the difference between independent and dependent events?
9 NAME: DATE: / / INDEPENDENT... A. B. D. F. Answer Space (show work for #1 below): A. B. D. 1 5 x 1 3 = 1 15 A. B. D. F. Answer Space (show work for #2 below): A. B. D. 1 4 x 1 6 = 1 24 DEPENDENT (WITHOUT replacing)... 3 A. B. D. F. Answer Space (show work for #3 below): A. B. D. 2 9 x 4 8 = 8 72 = 1 9
10 Independent Events (WITH replacement): 1. If there are four kings and four jacks in a deck of 52 cards, what is the probability of drawing a king, putting it back in the deck (replacing it), shuffling the deck, and then drawing a jack? 2. What is the probability of flipping heads on a coin and then flipping tails? 3. What is the probability of rolling a 3 on a six-sided number cube, and then flipping heads on a coin? 4. You have a bag of 10 marbles. Four are red and 6 are blue. What is the probability of drawing a red marble, putting it back in the bag, and then drawing another red marble? Dependent Events (WITHOUT replacement): 1. Each letter in the word MATH is written on a card and put into a bag. What is the probability of drawing the A, keeping it (not replacing), and then drawing the H? 2. You have a bag of 10 marbles. Four are red and 6 are blue. What is the probability of drawing a red marble, putting it aside, and then drawing another red marble? 3. You have a bag of 10 marble. Four are red and 6 are blue. What is the probability of drawing a blue marble, putting it aside (no replacement), and then drawing a red marble? 4. In a deck of 52 cards, half are black and half are red. What is the probability of drawing a black card, putting it aside (without replacing), and then drawing a red card?
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