Module 15: Probability and Statistics

  • Handouts
  • Exercises

LINK: Probability and Statistics

Topics:

  • Permutation
  • Combination
  • Probability
  • Venn diagram
  • Standard deviation and variance
  1. In a class of 50 students, 30 students like Calculus and 25 students like geometry. How many students like both calculus and geometry?
    • a. 2
    • b. 3
    • c. 4
    • d. 5
  2. The probability for the CE board examinees from a certain school to pass the Mathematics subject is 3/7 and that for Communication is 5/7. If none of the examinees failed both subjects and there are 5 examinees that pass both subjects, how many examinees from the school took the examination?
    • a. 30
    • b. 38
    • c. 35
    • d. 40
  3. In how many ways can you arrange 8 beads in a necklace?
    • a. 2300
    • b. 4020
    • c. 5040
    • d. 6030
  4. In how many ways you can arrange 2 boys and 3 girls around the circle if the boys will always be together?
    • a. 10
    • b. 12
    • c. 14
    • d. 16
  5. In how many ways can you invite one or more of your 6 friends to a show?
    • a. 58
    • b. 63
    • c. 66
    • d. 72

Three cards will be drawn from an ordinary deck of cards, what is the probability of obtaining:

  1. 2 kings and ace
    • a. 24/22100
    • b. 26/22100
    • c. 20/22100
    • d. 28/22100
  2. Jack, queen and a king
    • a. 64/22100
    • b. 75/22100
    • c. 82/22100
    • d. 60/22100
  3. Cards of order: Jack, queen, king
    • a. 10/16575
    • b. 12/16575
    • c. 14/16575
    • d. 8/16575
  4. Card of the same color
    • a. 8/17
    • b. 10/17
    • c. 4/17
    • d. 5/17
  5. Cards of the same suit
    • a. 18/425
    • b. 22/425
    • c. 25/425
    • d. 28/425

A fair coin is tossed 5 times. What is the probability of obtaining __?

  1. Exactly 3 heads
    • a. 5/16
    • b. 8/16
    • c. 10/16
    • d. 3/16
  2. At least 3 heads
    • a. ¾
    • b. ½
    • c. 1/8
    • d. ¼
  3. What is the probability of guessing 3 correct answers in a multiple choice test of 5 items if each question has four options?
    • a. 40/512
    • b. 55/512
    • c. 45/512
    • d. 60/512

A factory building has 9 entrance doors. In how many ways can a person enter and leave

  1.  By any door
    • a. 75
    • b. 81
    • c. 86
    • d. 72
  2. By a different door
    • a. 72
    • b. 86
    • c. 81
    • d. 75

From a box containing 7 red balls, 9 white balls and 11 blue balls, one ball is drawn at random. Find the probability that it is __.

  1. Red
    • a. 0.2593
    • b. 0.3333
    • c. 0.7407
    • d. 0.5926
  2. Not red
    • a. 0.5926
    • b. 0.7407
    • c. 0.3333
    • d. 0.2593
  3. White
    • a. 0.7407
    • b. 0.3333
    • c. 0.5926
    • d. 0.2593
  4. Red or White
    • a. 0.8215
    • b. 0.2812
    • c. 0.7407
    • d. 0.5926
  5. A PSME unit has 11 ME’s, 9 PME’s and 6 CPM’s. If a committee of 3 members, one from each group is to be formed, how many such committees can be formed?
    • a. 650
    • b. 660
    • c. 630
    • d. 693
  6. A jar contains 5 black balls and 7 white balls. What is the probability of getting 1 black and 1 white ball in two consecutive draws from the jar?
    • a. 0.53
    • b. 0.48
    • c. 0.60
    • d. 0.68

Answer Key (Handwritten)

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