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A combination lock has 4 wheels, each labeled with the 10 digits from 0 to 9. How many 4 digit opening combinations are possible if no digit is repeated?

  1. A combination lock has 4 wheels, each labeled with the 10 digits from 0 to 9. How many 4 digit opening combinations are possible if no digit is repeated?
  2. If the probability of winning a game is 0.42 and there can be no ties, what is the probability of losing the game?
  3. A company’s CEO has 12 people reporting directly to her, and she wants to select 3 to attend the grand opening of a new retail store. How many possible ways are there of selecting 3 people to attend?
  4. In the middle of the 2012 season a sports website calculated that the

1

probability of the Phoenix Suns winning the 2012 NBA Championship was —101

What were the odds of the Phoenix Suns winning the 2012 NBA Championship?

  • A card is randomly drawn from a standard deck of 52 cards. Find the probability that the card is a jack, given that it is black.
  • A club consists of six men and four women. Three people from the club are to be selected for a conference. Find the probability that a group consists of one man and two women.
  • A bag contains 4 yellow balls and 6 green balls. Two balls are drawn without replacement. Wat is the probability that the second ball is yellow given that the first ball is green?
  • A bag contains 6 red jelly beans and 4 black jelly beans. Two jelly beans are drawn at random from the bag one after another.
    • If the first jelly bean is replaced in the bag before the second one is drawn, find the probability that both jelly beans are red.
    • If the first jelly bean is not replaced in the bag before the second one is drawn, find the probability that both jelly beans are red.
  • A mathematics class consists of 16 engineering majors, 12 science majors, and 4 liberal arts majors.
    • What is the probability that a student selected at random will be a science or engineering major?
    • Five of the engineering students, 6 of the science majors, and 2 of the liberal arts majors are female. What is the probability that a student selected at random is an engineering major or a female?
  • A sample of 5 fuses is drawn from a lot containing 12 good fuses and 3 defective fuses. Find the probability that:
    • (4 points) all of the fuses are good
    • (4 points) at least 1 fuse is defective
 
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