Question: Define: Independent event the probability of an event Mutually exclusive events Consider a twelve sided die, with the faces labeled from 1 to 12. Determine

  1. Define:
  2. Independent event
  3. the probability of an event
  4. Mutually exclusive events
  5. Consider a twelve sided die, with the faces labeled from 1 to 12. Determine the probability of rolling a (n):
  6. 3 or 5
  7. Number greater than 9
  8. Suppose we roll a six sided die twice.
  9. How many outcomes are possible?
  10. How many ways can you roll two numbers that add to three?
  11. What is the probability of rolling two numbers that add to three?
  12. What is the probability of not rolling two numbers that add to three?
  13. What is the probability of rolling two numbers whose sum is at least 4?
  14. Two cards are selected from an ordinary deck of cards, without replacement.

Find the probability of getting:

  1. Two aces
  2. According to the U.S. Census Bureau, the probability a randomly selected household speaks English well is 0.92.The probability that a family speaks an “Indo-European language” at home is 0.15. The probability that a family speaks an Indo European language at home and speaks English well is 0.08. Find the probability that a family speaks an Indo-European language at home or speaks English well
  3. A committee consists of seven women and three men. The committee will randomly select two people to attend a conference in China. Find the probability that both are women.
  4. Suppose that a license plate can consist of two letters, followed by four digits. How many license plates are possible? Repetition is allowed.
  5. In a certain lottery game, player spick a ticket by choosing six different numbers from 1 to 14.
  6. How many different tickets are possible, if order matters?
  7. How many different are possible, if order doesn’t matter
  8. To win the grand prize in the lottery considered in problem 8, the player must choose the exact numbers chosen by the computer, in the same order. What is the probability of winning the grand prize?
  9. How many permutations are possible from the words?


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