Question: Please help me solve n general, for dependent events, where B depends on A, P (A and B) = P(A) x P( B | A)
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n general, for dependent events, where B depends on A, P (A and B) = P(A) x P( B | A) D - Dependent Events - Practice Examples Conditional Probability of B happening, given Show your work on a separate paper. A has happened. 1. Eva has four highlighters in her pencil case. There are two yellow, one orange and one blue. a. What is the probability of drawing two yellows in a row? (with replacement) b. What is the probability of drawing a yellow then a blue in a row? (without replacement) 2. What is the probability of drawing two cards from a deck of cards that are both red (no replacement)? 3. What is the probability of drawing a Jack followed by a face card when drawing two cards, with replacement? 4. Two numbers are drawn from a bag containing numbers from 1 to 20. What is the probability of drawing two even numbers, if there is no replacement? 5. A study of telemarketing data shows that there is a 16% chance that a person receiving a telemarketing call will stay on the line. The conditional probability of a person agreeing to buy a product, given that they are staying on the phone line, is 10%. How many sales are made, if there are 1000 people called? Answers: (1a) 1/4; (1b) 1/6; (2) 25/102; (3) 3/169; (4) 9/38; (5) 16 people. HW - 1.5 - pg 53 # 1 - 8
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