Name: _________________________ 7th /Honors Grade Mathematics Date: ______________ Mrs. Mazzarella/Mrs. Sammon 12-2 Experimental Probability of Simple Events: Pages 375-380 Essential Question: How can you find the experimental probability of a simple event? Experimental Probability vs. Simple Probability - Experimental Probability is probability that is always based on events that already occurred. Determining the experimental probability of an event can and will yield any number of outcomes. - Simple Probability is probability based on a given sample space and there is only one outcome. Page 375 Explore Activity #1_________________________________________________________________________________________________ #2_________________________________________________________________________________________________ #3_________________________________________________________________________________________________ Page 376 Example 1 Real World Then convert into a percent. Substitute the results recorded in the table. Write the probability as a decimal and then a percent. Color RED BLUE GREEN YELLOW Experimental Probability πππππ’ππππ¦ ππ π‘βπ ππ£πππ‘ π‘ππ‘ππ ππ’ππππ ππ π‘πππππ Page 376 Example 1 Real World Experimental Probability of: RED: YELLOW: BLUE Page 378 GUIDED Practice Page 379 Independent Practice LESSON 12-1 Probability Practice and Problem Solving: C Find each probability. Write your answer in simplest form. 1. picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts ________________________________________________________________________________________ 2. drawing a vowel from letter tiles that spell out MATHEMATICS ________________________________________________________________________________________ 3. A spinner is divided into 8 equal sections: 4 red, 2 white, 1 green, and 1 blue. What is the probability that the spinner lands on blue or white? ________________________________________________________________________________________ There are 6 cans of soup in a kitchen cabinet: 2 chicken noodle, 3 tomato, and 1 vegetable. 4. You select a can without looking. What is the probability that you will not choose chicken noodle soup? ________________________________________________________________________________________ 5. Suppose you use a can of chicken noodle soup from the original 6 cans. Then your father adds 2 cans of vegetable soup and 1 can of tomato soup to those left in the kitchen cabinet. What is the probability that you will choose tomato soup now? ________________________________________________________________________________________ 6. Later, your mother adds 7 more cans of soup to the cabinet, some chicken noodle and 4 some vegetable. Now the probability of not choosing chicken noodle soup is . How 5 many cans of chicken noodle soup did your mother add to those already in the cabinet? Explain. ________________________________________________________________________________________ ________________________________________________________________________________________ Use the picture at the right. 7. Write one number in each section of the spinner at right. Then write a probability problem about the spinner. The answer to your problem should be between 1 and 1. 2 ________________________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ LESSON 12-2 Experimental Probability of Simple Events Practice and Problem Solving: D Find each experimental probability. The first one is done for you. 1. Kathy played a game of darts. She threw 15 darts and hit the target 9 times. What is the experimental probability that Kathy will hit the target the next time she throws a dart? a. What is the number of favorable outcomes? _________________ 9 15 b. What is the total number of trials? _________________ c. What is the experimental probability that Kathy will hit the target the next time she throws a dart? 9 3 ο½ 15 5 ____________________________________________________________________________________ 2. Between 10 A.M. and 11 A.M., 48 people came into Bradβs store. 40 of them made a purchase. What is the experimental probability that the next person to come into the store will make a purchase? a. What is the number of favorable outcomes? _________________ b. What is the total number of trials? _________________ c. What is the experimental probability the next person to come into the store will make a purchase? ____________________________________________________________________________________ 3. Sharona kept track of the colors of cars that passed her house one afternoon. She collected her data in the table below. Car Color Number Car Color Number red 12 white 42 blue 9 silver 36 black 32 yellow 1 What is the experimental probability that the next car will be silver? a. What is the number of favorable outcomes? _________________ b. What is the total number of trials? _________________ c. What is the experimental probability that the next car to pass Sharonaβs house will be silver? ____________________________________________________________________________________ d. What is the experimental probability that the next car to pass Sharonaβs house will not be silver? ____________________________________________________________________________________
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