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Splash Screen. Main Idea and Vocabulary Targeted TEKS Example 1: Describe a Simulation Example 2: Real-World Example Example 3: Real-World Example. Menu. Perform probability simulations to model real-world situations involving uncertainty. simulation. Lesson 7 MI/Vocab.
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Main Idea and Vocabulary Targeted TEKS Example 1: Describe a Simulation Example 2: Real-World Example Example 3: Real-World Example Menu
Perform probability simulations to model real-world situations involving uncertainty. • simulation Lesson 7 MI/Vocab
Describe a Simulation SHOPPING A supermarket is issuing 1 of 6 different in-store discount coupons to each customer who enters the store. If the coupons are given out randomly, describe a model that could be used to simulate which coupons would be given to the first 100 customers. Choose a method that has 6 possible outcomes, such as rolling a number cube. Let each outcome represent a different coupon. Ex1
Describe a Simulation Answer: Roll a number cube to simulate the coupons that might be given to the first 100 customers. Repeat 100 times. 1 → coupon 1 2 → coupon 2 3 → coupon 3 4 → coupon 4 5 → coupon 5 6 → coupon 6 Ex1
An electronics store is issuing 1 of 8 different in-store discount coupons to each customer who enters the store. If the coupons are given out randomly, describe a model that could be used to simulate which coupons would be given to the first 50 customers. CYP1a
Sample answer: Choose a method that has 8 possible outcomes, such as flipping a coin 3 times. Let each outcome represent a different coupon. Toss a coin 3 times to simulate the coupons that might be given to the first 50 customers. Repeat 50 times. HHH → coupon 1 TTT → coupon 5 HHT → coupon 2 TTH → coupon 6 HTH → coupon 3 THT → coupon 7 HTT → coupon 4 THH → coupon 8 CYP1b
ORCHESTRAThe conductor of the school orchestra needs to choose 6 students at random to perform with the all-city band. If there are 36 students in the orchestra, describe a model that she could use to simulate choosing these 6 students. There are 36 students in the orchestra, so select objects that combined have 36 outcomes, such as a number cube and a spinner with 6 spaces. Assign each student one of the possible outcomes. Ex2
6 numbers ● 6 letters = 36 outcomes Answer: The conductor should roll the number cube and spin the spinner at least 6 times to choose the students for the band. Ex2
NATURE HIKEThe director of a national park needs to choose 3 rangers at random to lead nature hikes this weekend. If there are 10 rangers working at the park this weekend, describe a model that he could use to simulate choosing these 3 rangers. CYP2a
Answer: There are 10 rangers working this weekend, so select objects that combined have 10 outcomes, such as a coin and a spinner with 5 spaces. Assign each ranger one of the possible outcomes. 2 sides ● 5 letters = 10 outcomesThe park director should flip the coin and spin the spinner 3 times to choose the rangers for the nature hikes. CYP2b
The probability that Keisha will get a hit is 40% or , and the probability that she will not get a hit is 60% or . SOFTBALLDuring the regular season, Keisha had base hits 40% of her times at bat. Describe an experiment she could use to simulate her next 20 times at bat. Answer: She could use a spinner with 5 sectors, 2 representing getting a base hit and 3 representing a failure to get a base hit. She would spin the spinner 20 times. Ex3
Sample answer: The probability that a customer will make a purchase is 75% or and the probability that a customer will not make a purchase is 25% or The store manager could use a spinner with 4 sectors, 3 representing a customer making a purchase and 1 representing a customer not making a purchase. The manager would spin the spinner 50 times. SALESDuring the holiday season, 75% of the customers who enter a retail store make a purchase. Describe an experiment a store manager could use to simulate the next 50 customers. CYP3