Review Probability Odds
Decide if A and B are ME or not.
1) A die is rolled.
A: The result is an odd number.
B: The result is an even number.
3) A: The result is a number greater than 4.
B: The result is a number less than 4.
5) A card is drawn from a standard deck.
A: The result is a club.
B: The result is a king.
7) A student is selected at random.
A: The student is taking a math course.
B: The student is a business major.
9) The events A and B are mutually exclusive. If P(A) = 0.4 and P(B) = 0.3, what is P(A or B)?
The table is for #10-13
NonRegularHeavy
SmokerSmokerSmoker
Male135695
Female187546
11) If a student is chosen at random, find the probability of getting someone who is a man or a non-smoker.
13) If a student is chosen at random, find the probability of getting someone who is a man or a woman.
Table for #14-15
MajorFrequency
Mathematics222
English208
Engineering86
Business176
Education222
15) What is the probability that a randomly selected student majored in Business, Education or Engineering?
17) A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace or a heart.
21. A couple plans to have three children. What is the prob of getting at least one girl?
23. A recent poll by the American Automobile Club found that 40% of those surveyed are worried about aggressive drivers on the road. If 4 people are selected at random, what is the probability that all 4 will be worried about aggressive drivers on the road?
25. Three cards are drawn from an ordinary deck and not replaced. What is the probability of getting 3 spades?
27. In a scientific study there are 9 mice, 4 of which are pregnant. If three mice are selected at random, without replacement, what is the probability that all are pregnant?
29. A box contains 5 blue marbles, 3 red marbles, and 6 white marbles. If three marbles are drawn, without replacement, what is the probability that all three are red?
33. In a recent survey 8 people watched ABC, 7 people watched NBC, and 12 people watched CBS. If a person is picked at random, what is the probability that the person watched NBC or CBS?
35. A single card is drawn from a deck. What is the probability of selecting a queen or a heart?
37. Three cards are drawn from an ordinary deck and not replaced. What is the probability of getting an ace and 2 jacks?
39. For a single draw from a standard deck of cards, what is the probability of obtaining a heart given that a red card was selected?
41. The staff at a small company includes: 2 secretaries, 40 factory workers, 7 specialists, 3 engineers, and 2 executives. If a person is selected at random, what is the probability that he or she is a factory worker or a specialist?
43. In a shipment of 30 televisions, 3 are defective. If 2 sets are randomly selected and tested, what is the probability that both are defective?
45. 60 students enter a ping-pong tournament. They are classified by gender and class in school. The results are in the table.
Juniors Seniors
Males 25 20
Females 10 5
What is the probability that a random person is a junior given that the person is a female?
Determine whether each pair of events is independent or dependent. #52 - 56
53. Drawing a king, replacing the card, and drawing another king.
55. Drawing a ball from an urn, not replacing it, and drawing a second ball from the urn.
57. In a recent study, the following data were obtained in response to the question, "Have you smoked cigarettes in the last week?"
Yes No
Sophomores25 100
Juniors 30 115
Seniors40 115
What is the probability that a random person is a sophomore or a junior?
59. A club has 8 doctors, 10 engineers, and 12 lawyers. If a person is picked at random, what is the probability that he or she is a lawyer?
61. If a die is rolled once, what is the probability of getting a seven?
63.If a die is rolled once, what is the probability of getting a number greater than or equal to 5?
65. Two dice are rolled. What is the probability of getting a sum of 8?
67. One card is drawn from an ordinary deck of playing cards. What is the probability of getting a black nine?
71. There is a 76% chance that a man will give a valentine card to his wife. If 4 men are selected at random, what is the probability that all 4 will give valentines to their wives?
73. The frequency distribution shown here lists the number of cars looked at by customers at a dealer's lot on a Saturday.
No. of cars No of people
1 4
2 18
3 25
4 10
5 8
If a person is selected at random, what is the probability that the person examined at least 3 cars?
75. If a person is selected at random, what is the probability that the person examined more than 4 cars?
77. A card is drawn and replaced, and then a second card is drawn. What is the probability of getting 2 clubs?
79. In a clinic there are 15 patients, 4 of which have the flu. If 3 patients are randomly selected, what is the probability that all 3 will have the flu?
81. Three cards are drawn from a deck without replacement. What is the probability of selecting 3 eights?
83. A pair of dice is rolled 3 times. What is the probability of getting a 7 on all three rolls?