PROBABILITY

Small minds discuss persons. Average minds discuss events. Great minds discuss ideas.
Really great minds discuss Mathematics.

By O.P. GUPTA Math Mentor

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 Multiple Choice Questions, with only one correct option.

Q01. If E is an event, then the value of P(E)  P(E) is:
(a) 0 (b) 1 (c) 2 (d) None of these
Q02. If P(E) is 38% for an event E, then the probability of failure of this event is:
(a) 12% (b) 62% (c) 100% (d) 0
Q03. In a survey, it is found that every fifth person possess a vehicle. The probability of a person ‘not
possessing the vehicle’ is:
1 4 3
(a) (b) (c) (d) 1
5 5 5
Q04. Which of the following can’t be the probability of an event?
2 1
(a) (b)  (c) 15 % (d) 0.7
3 5
Q05. If ‘p’ is the probability of an impossible event then, p  _____?
2
(a) (b) 0.1 (c) 1 (d) 0
3
Q06. The probability of a sure event is:
(a) 0 (b) 1 (c) 2 (d) None of these
Q07. What is the probability that an ordinary year has 53 Sundays?
6 1 2 3
(a) (b) (c) (d)
13 7 7 8
Q08. A bag contains 9 red, 7 white and 4 black balls. A ball is drawn randomly. The probability that the
‘ball drawn is not red’ is:
9 9 2 11
(a) (b) (c) (d)
20 11 11 20
Q09. If a die is thrown, and the probability of getting a number less than 5 is given by p then, which of
the following is true for p?
(a) 1 (b) 0 (c) 0  p  1 (d) p  1
Q10. If red face cards are removed from the deck of 52 playing cards, then the probability of getting a
black jack is:
2 2 4 2
(a) (b) (c) (d)
46 52 48 23
Q11. If there are 5 prizes and 20 are blanks, then the probability of winning a prize is:

MATHEMATICIA By O.P. GUPTA : MCQ in Mathematics (Class 10) 1

MATHEMATICIA for Class 10 By O.P. GUPTA (INDIRA Award Winner)

1 1 1 4
(a) (b) (c) (d)
5 4 3 5
Q12. In a bag, there are 100 bulbs out of which 30 are bad ones. A bulb is taken out of the bag at
random. The probability of the selected bulb to be good is:
(a) 0.50 (b) 0.70 (c) 0.30 (d) None of these
Q13. A coin is tossed 1000 times and 560 times a ‘head’ occurs. The empirical probability of
occurrence of a Head in this case is:
(a) 0.50 (b) 0.56 (c) 0.44 (d) 0.056
Q14. Two coins are tossed 200 times and the following outcomes are recorded:
HH HT or TH TT
56 110 34
The empirical probability of occurrence of at least one Head in the above case is:
(a) 0.33 (b) 0.34 (c) 0.66 (d) 0.83
Q15. On a particular day, the number of vehicles passing a crossing is given here:
Vehicle Two wheeler Three wheeler Four wheeler
Frequency 52 71 77
What is the probability of a two wheeler passing the crossing on that day?
(a) 0.26 (b) 0.71 (c) 0.385 (d) 0.615
Q16. In a bag there are 100 balls, which include normal and good quality balls. There are 40 good
quality balls in the bag. A ball is taken out of the bag at random. The probability of the selected
ball to be of good quality is:
(a) 0.50 (b) 0.70 (c) 0.60 (d) 0.40
Q17. A coin is tossed 1000 times and 560 times a ‘tail’ occurs. The empirical probability of occurrence
of a Head in this case is:
(a) 0.50 (b) 0.56 (c) 0.44 (d) 0.056
Q18. A coin is tossed two times. What is the probability of getting exactly two heads?
(a) 0.50 (b) 0.75 (c) 0.60 (d) 0.25
Q19. In a simultaneous throw of two coins, the probability of getting at least one head is:
1 2 3
(a) (b) (c) (d) 1
4 4 4
Q20. What is the probability that a number selected from 1, 2, 3, 4, 5,…, 16 is a prime number?
1 10 6 7
(a) (b) (c) (d)
16 16 16 16
Q21. A card is drawn at random from a pack of 52 cards. The probability that the card drawn is a face
card is:
6 1 3 39
(a) (b) (c) (d)
13 2 13 52
Q22. In a simultaneous throw of two dice, what is the probability of getting doublet?
1 1 3 2
(a) (b) (c) (d)
6 4 4 3
Q23. A die is thrown once. Then the chance of getting a number which is less than 3 and greater than 2
is:
1 5
(a) 0 (b) 1 (c) (d)
6 6
Q24. A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is
a spade or a king?
2 MATHEMATICIA By O.P. GUPTA : MCQ in Mathematics (Class 10)
For all the Math-Gyan, visit at THEOPGUPTA.COM  WhatsApp @ +919650350480

9 4 2 1
(a) (b) (c) (d)
13 13 13 13
Q25. A bag contains 6 black balls and 8 white balls. One ball is drawn at random. What is the
probability that the ball drawn is white?
4 3 4 1
(a) (b) (c) (d)
7 4 3 8
Q26. In a game, a number is chosen at random from the set {1, 2, 3, …, 28, 29, 30}. What is the
probability that the number chosen is a product of exactly two different prime numbers?
1 7 4 1
(a) (b) (c) (d)
6 30 15 5
Q27. In a cricket match probability of winning of India against Pakistan is 0.79. Then probability of
loosing the match will be:
(a) 0.23 (b) 0.21 (c) 0.14 (d) 0.36
Q28. A number is chosen randomly among the first 100 natural numbers. Then the probability that the
number chosen is multiple of 7, will be:
7 7 7 3
(a) (b) (c) (d)
50 15 29 13
Q29. A bag contains 10 red balls and some white balls. If the probability of drawing a white ball is
double that of a red ball, then number of white balls in the bag will be:
(a) 10 (b) 15 (c) 20 (d) 25
Q30. The king, queen and jack of hearts are removed from a deck of 52 playing cards and then well
shuffled. One card is selected from the remaining cards. Then the probability of getting a king is:
1 2 3
(a) (b) (c) (d) 1
49 49 49
Q31. Paper cards numbered 1, 2, 3, …., 16, 17 are put in a box and mixed thoroughly. One person
draws a card from the box. Then the probability that the odd number on the card is:
8 9 6 5
(a) (b) (c) (d)
17 17 17 17
Q32. A die is thrown twice. Then the probability that 5 will come up at least once is:
11 7 5 25
(a) (b) (c) (d)
36 36 36 36
Q33. In a single throw of two dice, the probability of getting a doublet of odd numbers is:
11 1 5 1
(a) (b) (c) (d)
12 12 12 2
Q34. If three coins are tossed simultaneously, then the probability of getting at least two heads, is:
1 1 3
(a) (b) 3 (c) (d)
4 8 2 4
Q35. If P(E)  0.05 , then P(not E) 
(a) 0.095 (b) 0.5 (c) 0.9 (d) 0.95

MATHEMATICIA By O.P. GUPTA : MCQ in Mathematics (Class 10) 3

MATHEMATICIA for Class 10 By O.P. GUPTA (INDIRA Award Winner)

ANSWERS KEY
Q01. b Q02. b Q03. b Q04. b Q05. d Q06. b Q07. b
Q08. d Q09. c Q10. a Q11. a Q12. b Q13. b Q14. d
Q15. a Q16. d Q17. c Q18. d Q19. c Q20. c Q21. c
Q22. a Q23. a Q24. b Q25. a Q26. b Q27. b Q28. a
Q29. c Q30. c Q31. b Q32. a Q33. b Q34. c Q35. d

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