16.7 Quick review questions

  • Suppose Event A is defined as ‘I will roll a or a on a fair die.’
  1. What is the best way to compute the probability of Event A occurring?
  2. What is the probability of Event A occurring?
  3. Suppose Event B is defined as ‘A randomly-chosen university student will like pizza.’ What is the best way to compute the probability of Event B occurring?
  4. True or false: Events A and Event B are independent.
  • Consider these three events, then answer the questions that follow:
    • Event 1 is ‘The first card I pick from a standard 52-card pack will be an Ace’;
    • Event 2 is ‘The second card I pick from a standard 52-card pack will be an Ace, if I do not return the first card’; and
    • Event 3 is ‘The second card I pick from a standard 52-card pack is an Ace, if I do return the first card to a random location.’
  1. True or false: Event 1 and Event 2 are independent.

  2. True or false: Event 1 and Event 3 are independent.

  3. The probability of Event 2 is: