(1) A jar contains 4 blue, 5 green, and 6 red marbles. If a marble is selected at random, what is the probability that it is either green or red?

  • (a) \(\frac{5}{15}\)
  • (b) \(\frac{11}{15}\)
  • (c) \(\frac{4}{15}\)
  • (d) \(\frac{9}{15}\)

(2) A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 3?

  • (a) \(\frac{1}{6}\)
  • (b) \(\frac{1}{3}\)
  • (c) \(\frac{1}{2}\)
  • (d) \(\frac{2}{3}\)

(3) In a class of 30 students, 18 play basketball, and 16 play football. If 12 students play both sports, what is the probability of selecting a student at random who plays either basketball or football?

  • (a) \(\frac{22}{30}\)
  • (b) \(\frac{22}{30}\)
  • (c) \(\frac{18}{30}\)
  • (d) \(\frac{24}{30}\)

(4) Two cards are drawn at random from a deck of 52 cards without replacement. What is the probability of drawing an ace followed by a king?

  • (a) \(\frac{1}{132}\)
  • (b) \(\frac{4}{663}\)
  • (c) \(\frac{1}{221}\)
  • (d) \(\frac{1}{26}\)

(5) A bag contains 3 red, 2 blue, and 5 green balls. Two balls are drawn randomly. What is the probability that they are not of the same color?

  • (a) \(\frac{21}{40}\)
  • (b) \(\frac{19}{40}\)
  • (c) \(\frac{1}{2}\)
  • (d) \(\frac{20}{40}\)

Author: user