SECTION 3.1 Basic Concepts of Probability and Counting 141 Finding the Probability of an Event In Exercises 21–24, the probability that an event will not happen is given. Find the probability that the event will happen. 21. P(E′) = 0.95 22. P(E′) = 0.13 23. P(E′) = 3 4 24. P(E′) = 21 61 Using and Interpreting Concepts Identifying the Sample Space of a Probability Experiment In Exercises 25–32, identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram when appropriate. 25. Guessing the initial of a student’s middle name 26. Guessing a student’s letter grade (A, B, C, D, F) in a class 27. Drawing one card from a standard deck of cards 28. Identifying a person’s eye color (brown, blue, green, hazel, gray, other) and hair color (black, brown, blonde, red, other). 29. Tossing two coins 30. Tossing three coins 31. Rolling a pair of six-sided dice 32. Rolling a six-sided die, tossing two coins, and spinning the fair spinner shown Identifying Simple Events In Exercises 33–36, determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning. 33. A spreadsheet is used to randomly generate a number from 1 to 2000. Event A is generating the number 253. 34. A spreadsheet is used to randomly generate a number from 1 to 4000. Event B is generating a number less than 500. 35. You randomly select one card from a standard deck of 52 playing cards. Event A is selecting a diamond. 36. You randomly select one card from a standard deck of 52 playing cards. Event B is selecting the ace of spades. Using the Fundamental Counting Principle In Exercises 37–40, use the Fundamental Counting Principle. 37. Menu A restaurant offers a $15 dinner special that lets you choose from 6 appetizers, 12 entrées, and 8 desserts. How many different meals are available when you select an appetizer, an entrée, and a dessert? 38. Tablet A tablet has four choices for an operating system, three choices for a screen size, four choices for a processor, six choices for memory size, and three choices for a battery. How many ways can you customize the tablet? 39. Realty A realtor uses a programmable lock box to store the keys to a house that is for sale. The access code for the lock box consists of four digits. The first digit cannot be zero and the last digit must be even. How many different codes are available? 40. True or False Quiz Assuming that no questions are left unanswered, in how many ways can a six-question true or false quiz be answered? FIGURE FOR EXERCISE 32
RkJQdWJsaXNoZXIy NjM5ODQ=