red_pe_ch_10.pdf

# W x y z v 32 j q k l m n p 33 multiple choice a

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W X Y Z V 32. J Q K L M N P 33. MULTIPLE CHOICE A drawing has a scale of 1 cm : 1 m. What is the scale factor of the drawing? (Section 7.5) A 1 : 1 B 1 : 100 C 10 : 1 D 100 : 1 26. PASSWORD You forget the last two digits of your password for a website. a. What is the probability that you randomly choose the correct digits? b. Suppose you remember that both digits are even. How does this change the probability that your choices are correct? 27. COMBINATION LOCK The combination lock has 3 wheels, each numbered from 0 to 9. a. What is the probability that someone randomly guesses the correct combination in one attempt? b. You try to guess the combination by writing five different numbers from 0 to 999 on a piece of paper. Explain how to find the probability that the correct combination is written on the paper. 28. TRAINS Your model train has one engine and eight train cars. Find the total number of ways you can arrange the train. (The engine must be first.) 29. REPEATED REASONING You have been assigned a 9-digit identification number. a. Why should you use the Fundamental Counting Principle instead of a tree diagram to find the total number of possible identification numbers? b. How many identification numbers are possible? c. RESEARCH Use the Internet to find out why the possible number of Social Security numbers is not the same as your answer to part (b). 30. Problem Solving From a group of 5 candidates, a committee of 3 people is selected. In how many different ways can the committee be selected?

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428 Chapter 10 Probability and Statistics Independent and Dependent Events 10.5 Work with a partner. Using the same marbles from Activity 1, randomly draw two marbles from the bag. a. Complete the tree diagram. Let G = green and P = purple. Find the probability that both marbles are green. Is this event more likely than the event in Activity 1? Explain. b. Does the probability of getting a green marble on the second draw depend on the color of the first marble? Explain. ACTIVITY: Drawing Marbles from a Bag (Without Replacement) 2 What is the difference between dependent and independent events? Work with a partner. You have three marbles in a bag. There are two green marbles and one purple marble. Randomly draw a marble from the bag. Then put the marble back in the bag and draw a second marble. a. Complete the tree diagram. Let G = green and P = purple. Find the probability that both marbles are green. b. Does the probability of getting a green marble on the second draw depend on the color of the first marble? Explain. ACTIVITY: Drawing Marbles from a Bag (With Replacement) 1 First draw: Second draw: GG First draw: Second draw: GP Probability and Statistics In this lesson, you will identify independent and dependent events. use formulas to find probabilities of independent and dependent events.
Section 10.5 Independent and Dependent Events 429 Work with a partner. Conduct two experiments.

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