University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

234

Pages:

4
Author:

Herbsdorfn7k8

Independent and Dependent Events For use with Exploration 10.2 Essential Question whether two events are independent or dependent? How can you determine Two events are independent events when the occurrence of one event does not affect the occurrence of the other event. Two events are dependent events when the occurrence of one event does affect the occurrence of the other event.. 1 EXPLORATION: Identifying Independent and Dependent Events Work with a partner. Determine whether the events are independent or dependent. Explain your reasoning. a. Two six-sided dice are rolled. Independent because their ontcone does not affect the other clice codl. b. Six pieces of paper, numbered through 6, are in a bag. Two pieces of paper are selected one at a time without replacement. Cholic Dependent...what you select for the the second choice. first paper.determins what is available for 2 EXPLORATION: Finding Experimental Probabilities Go to BigIdeas Math.com for an interactive tool to investigate this exploration. Work with a partner. In Exploration 1(a), experimentally estimate the probability that the sum of the two numbers rolled is 7. Describe your experiment. Theoretical P/sum = 7) = 36 ===1600 16.6% 123456 b. In Exploration 1(b), experimentally estimate the probability that the sum of the two numbers selected is 7. Describe your experiment 10.2 Independent and Dependent Events (continued) 3 EXPLORATION: Finding Theoretical Probabilities Work with a partner. a. In Exploration 1(a), find the theoretical probability that the sum of the two numbers rofled is 7. Then compare your answer with the experimental probability you found in Exploration 2(a). P(sum=7): in a perfect world b. In Exploration 1(b), find the theoretical probability that the sum of the two numbers selected is 7. Then compare your answer with the experimental probability you found in Exploration 2(b). P(sam=7)=5 in portect a po hould C. Compare the probabilities you obtained in parts (a) and (b). Communicate Your Answer 4. How can you determine whether two events are independent or dependent? Indepent = put back Dependent not replacing 5. Determine whether the events are independent or dependent. Explain your reasoning. a. You roll a 4 on a six-sided die and spin red on a spinner.