Exercises 4-1 1. What is a probability experiment? 2. Define sample space. 3. Wh

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Exercises 4-1 1. What is a probability experiment? 2. Define sample space. 3. What is the difference between an outcome and arn 13. Rolling a Die I a die is rolled one time, find these h Getting a number greater than 6 c. Getting an odd number d. Getting an odd or even number event? 14. Rolling a Die If a die is rolled one time, find these 4. What are equally likely events? 5. What is the range of the values of the probability of an Getting a number greater (when an event is certain to occur, what is its 7.)If an event cannot happen, what value is assigned to its 8. What is the sum of the probabilities of all the outcomes probabilities: a Getting a number less than 7 Getting a number greater than 2 and an even number event? c. - d Getting a number less than 1 15. Rolling Two Dice If two dice are rolled one time, find the probability of getting these results. a. A sum of 9 b. A sum of 7 or 11 c. Doubles probability? in a sample space? f the probability that it will rain tomorrow is 0.20, what s the probability that it won't rain tomorrow? Would you recommend taking an umbrella? 16, Rolling Two Dice lf two dice are rolled one time, find the probability of getting these results: a. A sum less than 9 10.)A probability experiment is conducted. Which of these b A sum greater than or equal to 10 cannot be considered a probability A 3 on one die or on both dice. d. 1.65 e. -0.44 0 17. Drawing a Card If one card is drawn from a deck, find 125% 24% b 0.63 the probability of getting these results. a. A queen b. A club c. A queen of clubs d. A 3or an 8 e. A 6 or a spade 11. Classify each statement as an example of classical probability, empirical probability. or subjective probability a. The probability that a person will watch the 6 o'clock evening news is 0.15. - K8. Drawing a Card If a card is drawn from a deck, find h. The probability of winning at a Chuck-a-Luck -c. The probability that a bus will be in an accident on the probability of getting these results A 6 and a spade b. A black king a specific run is about 6% d. The probability of getting a royal flush when - c. A red card and a 7 d. A diamond or a heart e. A black card five cards are selected at random is 12. Classify each statement as an example of classical probability, empirical probability, or subjective 19. Shopping Mall Promotion A shopping mall has set probability -a. The probability that a student will get a C or better in a statistics course is about 70%. The probability that a new fast-food restaurant will be a success in Chicago is 35%. The probability that interest rates will rise in the next 6 months is 0.50 The probability that the unemployment rate will fall next month is 0,03. up a promotion as follows. With any mall purchase o $50 or more, the customer gets to spin the wheel shown here. If a number I comes up, the customer wins $10. If the number 2 comes up, the customer wins $5; and if the number 3 or 4 comes up. the customer wins a discount coupon. Find the following probabilities a. The customer wins $10. b. The customer wins money - h. c. d.

Explanation / Answer

1) Probability Experiment Can be regarded as an event which will lead to results that can be well defined. These results are called outcomes. All the population of these outcomes is called sample space.

2) As discussed above the population of outcomes is called a sample space. In other words, all the possible outcomes of a probability experiment together form a sample space.

3) An outcome is a result of an experiment(random) like tossing a coin has to outcomes i.e heads and tails. On the other hand an event is basically a collection of one or more than one outcomes. For example tossing two coins at a same time is an event(random)

4) Equally Likely Events are those events which have the same probability of occurring. For example in tossing a coin, probability of getting a heads and a tails is 1/2 (for both the cases)

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