MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Transcription

1 Practice Test Chapter 9 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the odds. ) Two dice are rolled. What are the odds against a sum greater than 8? 8 : 5 7 : 5 3 : 5 8 : 3 ) 2) When a single card is drawn from an ordinary 52 -card deck, find the odds in favor of getting the 4 of spades. : 52 : 2 : 3 : 5 2) 3) Given that P( =, what are the odds against A occurring? 4 3) 2 : 3 : 4 : : 3 4) A roulette wheel has 8 red slots and 8 black slots numbered alternately with the numbers through 36. Two green slots are numbered 0 and 00. The winning number is determined by the slot into which a single marble rolls. Players are not allowed to bet on green. The house wins all bets if 0 or 00 comes up. What are the odds against a black number winning? 0 : 9 9 : 9 : 9 : 0 4) 5) Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What are the odds in favor of drawing two queens? : : : 68 : 220 5) 6) In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle? 4 : : 3 3 : 3 : 4 6) 7) What are the odds against getting all heads or all tails in three successive flips of a coin? 8 : 4 : 3 : 7 : 7) 8) A lottery game has balls numbered through 5. What are the odds of selecting an even numbered ball or a 8? 7 : 8 8 : 7 5 : -7 7 : 5 8) 9) If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.0, what are the odds against a direct hit? 98 : : : 00 : 9) 0) Two dice are rolled. Find the odds against a sum of 5. 5 : 3 : 5 : 7 8 : 0) ) Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What are the odds against drawing two red cards? 25 : : 25 3 : 77 : 25 )

2 Solve the problem. 2) How many different three-digit numbers can be written using digits from the set {, 2, 3, 4, 5} without any repeating digits? ) 3) A group of 0 students consists of 3 girls and 7 boys. How many ways can the students be arranged from left to right if the first 3 students are girls and the remaining students are all boys? 3,628,800 5,20 22,235,66 30,240 3) 4) There are 6 contestants in a singing competition. How many different ways can first, second, and third place be awarded? ) 5) How many 4-digit numbers can be formed using the digits, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed? ) 6) If the odds against an event A are 5 to, what is the probability associated with event A occurring? ) 7) License plates are made using 3 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed? 7,576, ,95,776,757,600,000,000 7) 8) If a two-card hand is dealt from a well-shuffled deck of 52 cards, what is the probability that the hand contains two kings? ) 9) A race track tote board has the odds for a horse listed as 5 to 3. Tote boards list the odds that a horse will lose the race. If this is the case, what is the probability of the horse winning the race? 9) ) A recipe contains 3 ingredients. In how many different orders can all of the ingredients be added? ) 2) A 28-year-old man pays $75 for a one-year life insurance policy with coverage of $40,000. If the probability that he will live through the year is , what is the expected value for the insurance policy? -$74.88 $39, $ $ ) 22) A deli offers its cheese sandwich with various combinations of mayonnaise, lettuce, tomatoes, pickles, and sprouts. 5 types of cheese are available. How many different cheese sandwiches are possible? ) 2

3 23) 4 people arrive at a meeting. If each person shakes hands with each other person, how many handshakes are there? ) 24) A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 5 questions on the survey? ) 25) A standard deck of cards is made up of four suits with 3 cards in each suit (total of 52 cards). If we randomly sample five cards from a standard poker deck, find the probability that all five cards selected are clubs ) 26) How many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if the sequence may not end in 000? Repetition of digits is allowed ) 27) If the odds in favor of an event A are 2 to 3, what is the probability associated with event A occurring? 27) ) There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible? ) 29) In a certain lottery, five different numbers between and 30 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning? 7,00, ,00,720 30! 29) 30) A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee must answer 7 of the multiple-choice questions and 3 of the open-ended problems, in how many ways can the questions and problems be chosen? 34 26,273, ) 3) Suppose you pay $2.00 to roll a fair die with the understanding that you will get back $4.00 for rolling a 3 or a 6, nothing otherwise. What is your expected value? $2.00 $4.00 -$0.67 -$2.00 3) 3

4 Answer Key Testname: PRACTICE-TEST-UNIT-6 ) C 2) D 3) B 4) A 5) D 6) C 7) C 8) A 9) C 0) D ) D 2) D 3) D 4) D 5) B 6) C 7) A 8) D 9) A 20) B 2) D 22) B 23) A 24) D 25) B 26) D 27) D 28) D 29) A 30) C 3) C

5 ) 2) 3) 4) 5) 6) 7) 8) 9) 0) ) 2) 3) 4) 5) 6) 7) 8) 9) 20) 2) 22) 23) 24) 25) 26) 27) 28) 29) 30) 3)