Probability Questions and answers

  1. Aptitude
    1. Compound interest
    2. Boat and Stream
    3. Trains
    4. Percentage
    5. Discount
    6. Mixture and Allegation
    7. Unitary Method
    8. Work and Wages
    9. Pipes and Cisterns
    10. Linear Equations
    11. Approximation
    12. Word problems
    13. Number System
    14. Time and Distance
    15. Average
    16. Ratio and Proportions
    17. Profit and Loss
    18. Partnership
    19. Permutation and combination
    20. Probability
    21. Problem on ages
    22. Time and work
    23. Simple and compound interest
    24. Mensuration
    25. Number series
41). If three marbles are drawn at random, what is the probability that none is green?
A). \( \Large \frac{3}{8} \)
B). \( \Large \frac{273}{748} \)
C). \( \Large \frac{30}{91} \)
D). \( \Large \frac{41}{91} \)
42). If four marbles are drawn at random, what is the probability that two are blue and two are red?
A). \( \Large \frac{10}{1001} \)
B). \( \Large \frac{7}{17} \)
C). \( \Large \frac{15}{84} \)
D). \( \Large \frac{3}{5} \)
43). A bag contains 13 white and 7 black balls. Two balls are drawn at random, what is the probability that they are of the same colour?
A). \( \Large \frac{41}{190} \)
B). \( \Large \frac{21}{190} \)
C). \( \Large \frac{59}{190} \)
D). \( \Large \frac{99}{190} \)
44). From a well-shuffled pack of 52 playing cards, one card is drawn at random. What is the probability that the card drawn will be a black king?
A). \( \Large \frac{1}{26} \)
B). \( \Large \frac{7}{13} \)
C). \( \Large \frac{3}{13} \)
D). \( \Large \frac{9}{13} \)
45). Two balls are drawn at random from the urn. What will be the probability that both the balls are red?
A). \( \Large \frac{18}{95} \)
B). \( \Large \frac{9}{95} \)
C). \( \Large \frac{9}{10} \)
D). \( \Large \frac{8}{95} \)


46). If two balls are selected at random what is the probability that one ball is white and the other ball is red ?
A). \( \Large \frac{91}{190} \)
B). \( \Large \frac{63}{190} \)
C). \( \Large \frac{5}{19} \)
D). \( \Large \frac{4}{95} \)
47). A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red?
A). \( \Large \frac{1}{3} \)
B). \( \Large \frac{2}{3} \)
C). \( \Large \frac{1}{4} \)
D). \( \Large \frac{2}{5} \)
48). A bag contains 5 red balls, 7 yellow balls and 3 pink balls. If two balls are drawn at random from the bag, one after another, what is the probability that the first ball is red and the second ball is yellow?
A). \( \Large \frac{5}{12} \)
B). \( \Large \frac{3}{8} \)
C). \( \Large \frac{1}{4} \)
D). \( \Large \frac{1}{6} \)
49). There are 6 red balls, 5 yellow and 3 pink balls in an urn. Two balls are drawn at random. What is the probability that none of the drawn balls is of red colour?
A). \( \Large \frac{8}{13} \)
B). \( \Large \frac{7}{13} \)
C). \( \Large \frac{6}{13} \)
D). \( \Large \frac{4}{13} \)
50). A bag contains 4 red, 5 yellow and 6 pink balls. Two balls are drawn at random. What is the probability that none of the balls drawn are yellow in colour?
A). \( \Large \frac{1}{7} \)
B). \( \Large \frac{3}{7} \)
C). \( \Large \frac{2}{7} \)
D). \( \Large \frac{5}{14} \)
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