Independence and Getting Conditional Probability Started Activity - TALK THE TALK TOPIC 1 LESSON 2 -O- 3 Talk the Talk That Depends > Consider the situations that you analyzed in this lesson. 1 Compare the methods you used to determine the compound probability of two independent events both occurring and the compound probability of two dependent events both occurring. Describe the similarities and differences between the methods. 2 What rules could you write to determine the compound probability of three or more independent events? Three or more dependent events? Include examples to support your conclusions. Carnegie Learning, Inc.If Event A and Event B are dependent, then the probability that Event A happens and Event B happens is the product of the probability that Event A happens and the probability that Event B happens, given that TAKE NOTE... Event A has already occurred. Conditional probability is the If Events A and B are dependent, then the occurrence of the first event probability of an affects the probability of Event B. Therefore, the notation for the Rule of TOPIC 1 event that assumes Compound Probability involving and now states: the occurrence of P(A and B) = P(A) . P(BIA). some other event. P(BIA) means "the probability of the 4 Juan is determining the probability that the second sock chosen is occurrence of red. Analyze his strategy. Then use it to calculate the probability. Event B given the occurrence of Event A." Juan We want the second sock to be red, but the first sock can be red or not red. The desired outcomes are " red and red" or " not red and red . " REMEMBER... There are two cases that you should consider, depending on whether the first 5 Use Juan's method to answer each question. sock was red or not. @ What is the probability that the second sock is blue? Explain your reasoning. Carnegie Learning, Inc. b What is the probability that the second sock is green? Explain your reasoning. 925 Lesson 2 > And