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Mathematics Grade 11 Unit 8: PROBABILITY

national exam questions have come from this unit. It runs 66 pages; one careful study pass takes about 6.2 hours, and its difficulty is easier among Mathematics units. Each section below lists the questions set from it, with the year, and opens the page that teaches it.

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8.2 Fundamental Principle of Counting · read p. 417
  • 2018 E.C., Q37 – A mathematics exam contains 10 multiple-choice questions and 3 short-answer questions. According to the multiplication principle, how many ways can a student select exactly one multiple-choice question and exactly one sh
  • 2018 E.C., Q4 – Suppose that a person has 4 jackets and 5 trousers. In how many different ways can the person dress?
  • 2015 E.C., Q18 – A committee of five members was formed from 6 females and 4 males. How many different committees can be formed that consists of 3 females and 2 males?
8.3 Permutations and Combinations · read p. 423
  • 2018 E.C., Q31 – In a bank, there are 10 customers waiting for service. In how many different ways can an officer choose six customers in all, if three older customers are given priority?
  • 2017 E.C., Q52 – In how many ways can the name for vertices of a triangle be given in different order by using letters A, B, C, D, E?
  • 2017 E.C., Q15 – Suppose that we have 4 objects chosen 3 at a time. Then which of the following statement is true?
  • 2017 E.C., Q49 – Which of the following describe combination of objects?
8.4 Binomial Theorem · read p. 437
  • 2018 E.C., Q12 – What is the coefficient of in the expansion of
  • 2016 E.C., Q2 – Which one of the following numbers is the coefficient of $x^6y^4$ in the expansion of $(x+y)^{10}$?
  • 2013 E.C., Q57 – What is the coefficient of $x^2$ in the binomial expansion of $\left(2x + \frac{3}{x^3}\right)^8$?
8.5 Random Experiments and Their Outcomes · read p. 440
Not asked in a national paper yet.
8.6 Events · read p. 444
  • 2016 E.C., Q7 – A regular triangular pyramid labeled 1, 2 and 3, is thrown twice and what comes down on a flat surface is observed. What is the probability that the sum of the numbers faced down from this experiment less than 5?
  • 2015 E.C., Q19 – A fair die is going to be rolled once, and let: E1 be the event that an even number occurs; E2 be the event that a prime number occurs; E3 be the event that a multiple of 3 occurs; E4 be the event that a multiple of 5 oc
  • 2014 E.C., Q24 – Which of the following pairs of events are dependent?
  • 2013 E.C., Q16 – Which one of the following forms represents an exhaustive set of events if a die is thrown once?
8.7 Probability of an Event · read p. 453
  • 2018 E.C., Q39 – A person is given the colors blue, red and green and asked to paint six houses in a row. The rules are: R1: No two neighboring houses can have the same color. R2: The second and the last houses must have same color. R3:
  • 2014 E.C., Q25 – A bag contains 2 red, 3 white and 1 black balls. We draw two balls one after the other without replacement. What is the probability that the first ball is red and the second ball is black?
  • 2013 E.C., Q17 – A bag contains 2 red, 3 yellow and 5 green balls. One ball is drawn at random. What is the probability that the drawn ball is NOT yellow?
8.8 Real-life Application of Probability · read p. 473
Not asked in a national paper yet.