Probability Practice Questions: Level 02

  1. What is the probability of getting at least one 3 in 2 throws of a dice?
    1. 1/36
    2. 5/36
    3. 11/36
    4. 35/36
  2. The probability of A’s winning a game of chess against B is 2/3. What is the probability that A will win at least 1 of a total of two games?
    1. 1/27
    2. 19/27
    3. 2/27
    4. 8/9
  3. What is the probability that a non-leap year will have 53 Mondays?
    1. 52/53
    2. 51/52
    3. 1
    4. None of these
Directions for questions 4 to 6: Read the following information and answer the questions that follow. The probability that A will pass the examination is 1/2 and the probability that B will pass the examination is 1/3.
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  1. What is the probability that both A and B will pass the examination?
    1. 1/6
    2. 1
    3. 2/3
    4. 1/3
  2. What is the probability that only 1 person [either A or B] will pass the examination?
    1. 1
    2. 1/2
    3. 1/3
    4. 2/3
  1. What is the probability that at least one person will pass the examination?
    1. 1
    2. 1/2
    3. 1/3
    4. 2/3
  2. Three cards are drawn together from a pack of 52 cards at random. What is the probability that all the cards are Diamonds?
    1. 4C3 / 2C3
    2. 13C3 / 52C3
    3. 26C3 / 52C3
    4. 8C3 / 52C3
  3. A bag contains 8 blue balls and 6 black balls. Three balls are drawn one by one with replacement. What is the probability that all the 3 balls are black?
    1. 27 / 343
    2. 1 / 343
    3. 18 / 343
    4. None of these
  4. One bag contains 8 blue balls and 6 Green balls; another bag contains 7 blue balls and 5 green balls. If one ball is drawn from each bag, determine the probability that both are blue?
    1. 1/2
    2. 1/3
    3. 1/4
    4. 1/5
  5. 1 ball is drawn at random from a box containing 4 red balls, 5 white balls and 6 blue balls, what is the probability that the ball is a red ball?
    1. 1/7
    2. 2/15
    3. 4/15
    4. 1/15
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