See example 3 monitoring progress and modeling with

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(See Example 3.) Monitoring Progress and Modeling with Mathematics Monitoring Progress and Modeling with Mathematics # " / , 3 6 1 5 # " / , 3 6 1 5 ' 8 3 3 3 ' 6 8 3 ' 9 8 3 ' 4 3 3 ' 6 3 3 ' : 8 3 ' 7 3 3 ' 5 8 3 ' < 8 3 ' 6 8 3 ' 5 3 3 ' 6 3 3 3 ' 4 3 3 ' 8 3 3 ' < 3 3 ' 6 8 3 ' 7 3 3 ' : 3 3 ' 5 8 3 ' 6 3 3 ' 8 8 3 ' 4 8 3
Section 13.2 Independent and Dependent Events 719 12. PROBLEM SOLVING You play a game that involves drawing three numbers from a hat. There are 25 pieces of paper numbered from 1 to 25 in the hat. Each number is replaced after it is drawn. Find the probability that you will draw the 3 on your first draw and a number greater than 10 on your second draw. 13. PROBLEM SOLVING A drawer contains 12 white socks and 8 black socks. You randomly choose 1 sock and do not replace it. Then you randomly choose another sock. Find the probability that both events and B will occur. (See Example 4.) NUMBER SENSE Events A and B are dependent. Suppose P ( B A ) = 0.6 and P ( A and B ) Find  P ( A ). 19. ANALYZING RELATIONSHIPS You randomly select three cards from a standard deck of 52 playing cards. What is the probability that all three cards are face cards when (a) you replace each card before selecting the next card, and (b) you do not replace each card before selecting the next card? Compare the probabilities. (See Example 5.) 20. ANALYZING RELATIONSHIPS A bag contains 9 red marbles, 4 blue marbles, and 7 yellow marbles. You randomly select three marbles from the bag. What is the probability that all three marbles are red when A 14. PROBLEM SOLVING A word game has 100 tiles, 98 of which are letters and 2 of which are blank. The numbers of tiles of each letter are shown. You randomly draw 1 tile, set it aside, and then randomly draw another tile. Find the probability that both events A and B will occur. : : 15. ERROR ANALYSIS Events A and B are independent. Describe and correct the error in finding P ( A and B ). 0.2 16. ERROR ANALYSIS A shelf contains 3 fashion magazines and 4 health magazines. You randomly choose one to read, set it aside, and randomly choose another for your friend to read. Describe and correct the error in finding the probability that both events and B occur. A = 7 P ( A and B ) = 3 7 4 7 = 12 49 0.245 17. NUMBER SENSE Events A and B are independent. Suppose P ( B ) = 0.4 and P ( A and B ) = 0.13. Find P ( A ). 18. NUMBER SENSE Events A and B are dependent. Suppose P ( B A ) = 0.6 and P ( A and B ) Find  P ( A ). 19. ANALYZING RELATIONSHIPS You randomly select three cards from a standard deck of 52 playing cards. What is the probability that all three cards are face cards when (a) you replace each card before selecting the next card, and (b) you do not replace each card before selecting the next card? Compare the probabilities. (See Example 5.) 20. ANALYZING RELATIONSHIPS A bag contains 9 red marbles, 4 blue marbles, and 7 yellow marbles. You randomly select three marbles from the bag. What is the probability that all three marbles are red when = 0.15.
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