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- 1. Multiple ChoiceYou read in a book on poker that the probability of being dealt three of a kind in a five-card poker hand is 1/50. What does this mean?If you dealt thousands of poker hands, the fraction of them that contain three of a kind will be very close to 1/50.If you deal 50 poker hands, then one of them will contain three of a kind.If you deal 10,000 poker hands, then 200 of them will contain three of a kind.A probability of 0.02 is somebody's best guess for a probability of being dealt three of a kind.
- 2. Multiple ChoicePeople with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor?0.5260.720.280
- 3. Multiple ChoiceAccording to one poll, only 8% of the public say they "trust Congress." In a simple random sample of 10 people, what is the probability that at least one person "trusts Congress?"0.1880.3780.4340.566
- 4. Multiple ChoiceI flip 3 coins. If I got heads on the first 2 coins, what is the probability that the 3rd flip is also a heads?1/81/41/31/2
- 5. Multiple ChoiceIf P(A) = .25 and P(B) = .34, what is P(A u B) if A and B are independent?.085.505.590Insufficient Information
- 6. Multiple ChoiceSuppose that the probability that an answer can be found on Google is .95, on Answers.com is .92, and on both websites is .874. Are the possibilities of finding the answer on the two websites independent?Yes, because (.95)(.92) = .874No, because (.95)(.92) = .874Yes, because .95 ≥ .92 ≥ .874No, because 0.5(.95 + .92) ≠ .874
- 7. Multiple Choice
Given the three card shown:The cards are shuffled and a card is chosen. It is replaced, reshuffled and another card is chosen. What is the probability at least one of the two cards chosen is odd?1/34/95/91/9 - 8. Multiple ChoiceThe following Venn diagram uses the following definition. C = students taking calculus. S = students taking statistics. What does the shaded region represent?students taking calculusstudents not taking statisticsstudents taking calculus but not statisticsstudents taking both calculus and statistics
- 9. Multiple ChoiceIf you choose a card at random from a well-shuffled deck of 52 cards, what is the probability that the card chosen is a red card or an ace?.5.538.577.615
- 10. Multiple ChoiceA randomly selected student is asked to respond to the question, “Do you watch TV when you eat dinner?” The sample space is {always, often, seldom, never}. Which of the following represents a legitimate assignment of probabilities for this sample space?.25, .25, .25, .25.4, .3, .1, .2.5, .4, 0, .1all of these
- 11. Multiple Choice
The distribution of colors of candies in a bag is as follows.
If two candies are randomly drawn from the bag with replacement, what is the probability that they are the same color?
0.09
0.22
0.25
0.75
0.78
- 12. Multiple Choice
In a certain school, 17 percent of the students are enrolled in a psychology course, 28 percent are enrolled in a foreign language course, and 32 percent are enrolled in either a psychology course or a foreign language course or both. What is the probability that a student chosen at random from this school will be enrolled in both a foreign language course and a psychology course?
0.45
0.32
0.20
0.13
0.05
- 13. Multiple Choice
A carnival game allows the player a choice of simultaneously rolling two, four, six, eight, or ten fair dice. Each die has six faces numbered 1 through 6, respectively. After the player rolls the dice, the numbers that appear on the faces that land up are recorded. The player wins if the greatest number recorded is a 1 or 2. How many dice should the player choose to roll to maximize the chance of winning?
two
four
six
eight
ten
- 14. Multiple Choice
If you buy one ticket in the Provincial Lottery, then the probability that you will win a prize is 0.11. If you buy one ticket each month for five months, what is the probability that you will win at least one prize?
0.44
0.45
0.55
0.56
0.99
- 15. Multiple Choice
An experiment has three mutually exclusive outcomes, A, B, and C. If P(A)=0.12, P(B)=0.61, and P(C)=0.27, which of the following must be true?
I. A and C are independent.
II. P(A and B) = 0
III. P(B or C) = P(B) + P(C)
I only
I and II only
I and III only
II and III only
I, II, and III
- Answer choicesTagsAnswer choicesTags