Compound Probability

  1. Jolene’s mother has a job jar that contains 4 slips of paper, each with a different household chore written on it. One of the chores is washing the dishes. Daily chores are assigned by having each family member randomly select a slip of paper from the jar. After the chores for the day are assigned, all of the slips of paper are placed back into the jar for the next day. If Jolene gets to draw first each day, what is the probability that she will be assigned to wash the dishes on Monday and Tuesday? Write your answer as a fraction.

 

  1. Sheryl and Tess play basketball for the Tigers. The probability of Sheryl making a free throw is 0.25 and the probability of Tess making a free throw is 0.32. Find the probability of Sheryl making a free throw and Tess not making a free throw. Write your answer as a decimal.

 

  1. Two number cubes are rolled and the results are added. What is the probability that the sum is equal to 12?

 

  1. A bag contains 2 blue marbles and 2 green marbles. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble?

 

  1. Three number cubes are rolled and the results are added. What is the probability that the sum is equal to 3?

 

  1. A bag contains 3 blue marbles and 2 green marbles. What is the probability of drawing a blue marble followed by a green marble without replacing the first marble before drawing the second marble?

 

  1. Laurie rolls a number cube and then chooses a card from a set of cards numbered 1 through 8. What is the probability that she will roll an odd number and choose an even numbered card?

 

  1. Two number cubes are rolled and the results are added. What is the probability that the sum is equal to 6?

 

  1. Charlene rolls a number cube and then chooses a card from a set of cards numbered 1 through 24. What is the probability that she will roll an even number and choose an odd numbered card?

 

  1. Janine rolls two number cubes. What is the probability that the sum of the two numbers will be 10?

 

  1. You work for a company that randomly assigns 4 letter passwords to its employees. If each letter can be repeated, find the probability that your password is “MATH”.

 

  1. A lock has a 3-digit combination. Each of the digits is a number from 0 to 9. Find the probability that the combination of the lock is “123”.

 

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