Chapter 5 QUIZ

TRUE OR FALSE

Question 5.427

1. True or false: An outcome is a collection of a series of events from the sample space of an experiment.

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2. True or false: For any event A (even events like A: the moon is made of green cheese), the probability of A plus the probability of AC always add up to 1.

FILL IN THE BLANK

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3. The minimum value that a probability can take is _________ and the maximum value is _________.

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4. The union of two events is associated with the English word _________, and the intersection of two events is associated with the English word _________.

307

Question 5.431

5. Someone has told you that there is a 50-50 chance of rain tomorrow. This means that the probability of rain tomorrow equals _________.

SHORT ANSWER

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6. For any experiment, what is the sum of all the outcome probabilities in the sample space?

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7. For which type of sampling are consecutive draws independent?

Question 5.434

8. For two events , what do we call the event containing only those outcomes that belong to both ?

CALCULATIONS AND INTERPRETATIONS

Question 5.435

9. Consider the experiment of rolling a fair die twice. Find the following probabilities:

  1. Sum of the two dice equals 5.
  2. Sum of the two dice does not equal 5.
  3. One of the dice shows 2.
  4. Sum of the two dice equals 5 and one of the dice shows 2.
  5. Sum of the two dice equals 5 or one of the dice shows 2.

Question 5.436

10. Suppose that are any two events, with and . Find .

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11. Suppose that are any two events, with and . Find .

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12. Pick a Card. Consider the experiment of drawing a single card from a deck of 52 cards. Find the probability of observing the following events:

  1. Heart
  2. Face card (king, queen, or jack)
  3. Seven
  4. Red card
  5. Seven of hearts
  6. Red queen

For Exercises 13–18, let the experiment be to toss two fair dice. Use the sample space in Figure 3 on page 247. Define the following events:

  • : Roll a sum equal to 9.
  • : Roll a sum equal to 10.
  • : Roll doubles, where the dark green die equals the light green die.
  • : Light green die equals 6.

Use the strategy for determining whether two events are independent (page 274) to determine whether the following pairs of events are independent:

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13.

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14.

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15.

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16.

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17.

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18.

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19. Football Teams. The four teams in the AFC South division of the National Football League are Indianapolis Colts, Jacksonville Jaguars, Tennessee Titans, and Houston Texans. Suppose the top three teams in the division this year will make the playoffs. How many different sets of teams are making the playoffs?

Question 5.446

20. State Lottery. In a state lottery, balls numbered 1 to 20 are placed in an urn. To win, you must choose numbers that match the three balls chosen in the order that they're chosen.

  1. Explain whether a permutation or a combination is being used.
  2. How many possible outcomes are there?
  3. Find the probability of winning this lottery if your ticket contains a single ordering of three numbers.