MULTIPLE CHOICE QUESTIONS: (MCQ’s)
1. The probability of event equal to zero is called____
(a) Unsure event
(b) Sure Event
(c) Impossible event
(d) Independent event
2. The probability that cannot exist among the following_____
(a) 2/3
(b) −1.5
(c) 15%
(d) 0.7
3. If P(E) = 0.07, then what is the probability of it being ‘not E’?
(a) 0.93
(b) 0.95
(c) 0.89
(d) 0.90
4. A bag has 3 red balls and 5 green balls. If we take a ball from the bag, then what is the probability of getting red balls only?
(a) 3
(b) 8
(c) 3/8
(d) 8/3
5. A bag has 5 white marbles, 8 red marbles and 4 purple marbles. If we take a marble randomly, then what is the probability of not getting purple marble?
(a) 0.5
(b) 0.66
(c) 0.08
(d) 0.77
6. A dice is thrown in the air. The probability of getting odd numbers is:
(a) 1/2
(b) 3/2
(c) 3
(d) 4
7. If we throw two coins in the air, then the probability of getting both tails will be____
(a) 1/2
(b) 1/4
(c) 2
(d) 4
8. If two dice are thrown in the air, the probability of getting sum as 3 will be____
(a) 2/18
(b) 3/18
(c) 1/18
(d) 1/36
9. A card is drawn from the set of 52 cards. Find the probability of getting a queen card.
(a) 1/26
(b) 1/13
(c) 4/53
(d) 4/13
10. A fish tank has 5 male fish and 8 female fish. The probability of fish taken out is a male fish is ____
(a) 5/8
(b) 5/13
(c) 13/5
(d) 5
11. The probability of getting a black colour card from a well shuffled deck of 52 playing cards is ___
a) 3/4
b) 2/3
c) 1/2
d) 1/3
12. One card is drawn from a well shuffled deck of 52 cards. The probability of getting a face card is ____
(a) 1/13
(b) 2/13
(c) 3/13
(d) 4/13
13. A dice is thrown once. The probability that the number appearing on the top face of the die is an even prime number is ____
(a) 1/3
(b) 1/4
(c) 1/5
(d) 1/6
14. If two coins are tossed simultaneously, then the property of getting at least one tail is____
(a) 3/4
(b) 1/4
(c) 1/2
(d) 1/7
15. A die is thrown once. Find the probability of getting a non prime number
(a) 2/3
(b) 1/3
(c) 1/2
(d) 3/4
16. If two coins are tossed simultaneously, then the probability of getting at least one head is___
(a) 3/4
(b) 1/4
(c) 1/2
(d) 1/7
17. A card is drawn from a well shuffled deck of 52 cards. Therefore the probability of getting a king of a black colour is ____
(a) 1/52
(b) 1/13
(c) 1/25
(d) 1/26
18. A die is thrown once. What is the probability that the number appearing on the top of the die is: an even number.
(a) 3/5
(b) 2/5
(c) 1/2
(d) 1/5
19. Five cards numbered as 1, 2, 3, 4, 5 are put in a box and mixed thoroughly. If a card is drawn at random from the box, then the probability that the number on the card is prime is____
(a) 3/5
(b) 2/5
(c) 1/4
(d) 4/5
20. A die is thrown once. What is the probability that the number appearing on the top of the die is: a multiple of 3.
(a) 1/3
(b) 1/4
(c) 1/2
(d) 1/5
21. A die is tossed once. Therefore the probability of getting a number less than 3 on the top face of the die is ___
(a) 2/3
(b) 1/3
(c) 4/5
(d) 5/6
22. Cards marked with numbers 3,4, 5,……..50, are placed in a box. The probability that the number on the drawn card is a single digit number:
(a) 7/45
(b) 7/46
(c) 6/47
(d) 7/47
23. If the probability of losing an event is 0.03, then the probability of winning an event is ____
(a) 0.93
(b) 0.97
(c) 0.30
(d) 0.67
24. A box contains 5 red marbles, 7 black marbles and 9 white marbles. If only one marble is drawn at random from the box, The probability of getting not a white marble is ____
(a) 4/7
(b) 3/7
(c) 5/9
(d) 4/9
25. An unbiased die is thrown once, then the probability of getting an odd number on the top face of the die is ___
(a) 3/4
(b) 2/3
(c) 1/3
(d) 1/2
26. A box contains 40 discs which are numbered from 1 to 40 mixed thoroughly. If one disc is drawn at random from the box.The probability that the disc drawn is a number divisible by 5 is ___
(a) 1/5
(b) 1/6
(c) 1/8
(d) 1/4
27. Cards bearing number 5 to 20 are put in a box and mixed thoroughly. A card is drawn from the box at random. The probability that the number on the card drawn is a multiple of 2 is ____
(a) 1/3
(b) 1/2
(c) 1/5
(d) 1/6
28. In a throw of a dice, the probability of getting an odd prime number on the top face is___
(a) 2/7
(b) 1/4
(c) 1/3
(d) 1/6
29. A box contains some discs which are numbered from 5 to 15. If one disc is drawn at random from the box, then the probability of getting a multiple of 3 is___
(a) 4/11
(b) 3/11
(c) 4/12
(d) 4/10
30. If P(E) = 0.07, then the probability of getting an event “not E” is ___
(a) 0.03
(b) 0.93
(c) 1.00
(d) 1.07
31. In a throw of dice the probability of getting an odd prime on the top face is _______
(a) 4/3
(b) 3/2
(c) 1/3
(d) 4/1
32. A die and a coin are thrown once simultaneously. The probability of getting a prime number and a head is _____
(a) 1/2
(b) 3/2
(c) 1/3
(d) 1/4
33. A card is drawn from a well shuffled deck of 52 cards. Therefore the probability of getting a red coloured card is ____
(a) 1/2
(b) 3/2
(c) 1/3
(d) 1/4
34. A box contains 14 red balls and 16 blue balls. If we take a ball from the bag, then the probability of getting blue balls only is _____
(a) 3/25
(b) 8/15
(c) 3/16
(d) 8/3
35. A bag has 15 blue marbles, 8 red marbles and 7 pink marbles. If we take a marble randomly, then the probability of getting pink marble is _____
(a) 3/25
(b) 8/15
(c) 7/30
(d) 8/30
Answers. + Clues.
1 : (c) ⇒ The probability of an event that cannot be happened or which is impossible is equal to zero.
2 : (b) ⇒ The probability lies between 0 and 1. Hence it cannot be negative.
3 : (a) ⇒ P (E) + P (not E) = 1
Since P (E) = 0.05 So, P (not E) = 1 – P (E)……
4 : (c) ⇒ Probability of getting red balls = (number of red balls )/(total number of balls) = 3/8
5: (d) ⇒ Probability of getting purple marbles = 4/17
Hence, the probability of not getting purple marbles = 1−4/17 = 0.77
6: (a) ⇒ There are three odd numbers and three even numbers.
7: (b) ⇒ When two coins are tossed, the total outcomes will be = 2 x 2 = 4
8: (c) ⇒ Total number of outcome = 6 x 6 = 36
Sum 3 is possible if we get (1,2) or (2,1) in the dices.
Hence, the probability will be = 2/36 …..
9 : (b) ⇒ Number of queen cards = 4
The probability of getting queen card = 4/52 = 1/13
10 : (b) ⇒ Total fish = 5 + 8 = 13
Probability of taking out a male fish = 5/13
11: (c) ⇒ Probability(E) = Number of favourable outcomes/ Total number of outcomes.
12 :(c) ⇒ Probability(E) = Number of favourable outcomes/ Total number of outcomes.
13 : (d) ⇒ 2,3,5 are prime numbers and only 2 is even
14 :(c) ⇒Total n0: (HH) (TT) (TH) (HT) =4 and one tail is (TH) (HT) is 2
15 : (c) ⇒ Prime numbers are 2, 3 and 5. Non-primes are 1, 4, 6.
16 : (c) ⇒ Total n0: (HH) (TT) (TH) (HT) =4 and one head is (TH) (HT) is 2
17 : (d) ⇒ All possible outcomes = 52 . There are 2 black kings
18 : (c) ⇒ Total no: is 6 .Even numbers is 3
19 : (a) ⇒There will be three prime numbers
20 : (a) ⇒ There will be two multiples
21 :(b) ⇒ There are two numbers less than three
22 : (d) ⇒ Total numbers is 47 .single digits are 7
23 : (b) ⇒ Subtract 0.03 from 1
24 : (a ) ⇒ Total marbles is 21. not white marbles are 12
25 : (d) ⇒ Total sides is 6 .Odd numbers is 3
26 : (a) ⇒ Total No: is 40. Multiples of 5 are 8
27 : (b) ⇒ Total cards is 16. even numbers are8.
28 : (c) ⇒ Total no: is 6.Odd no: that is prime is 2
29 : (a) ⇒ Total no: is 11.Multiples of 3 are 4 in number
30 : (b) ⇒ Subtract o.o7 from 1
31 : (c) ⇒ Total outcomes is 6 and odd primes are 2
32 : (d) ⇒ Total outcomes is 12 and prime numbers and heads are 3
33 : (a) ⇒ Total outcomes is 52 and red coloured cards are 26
34 : (b) ⇒ Total outcomes is 30 and blue coloured balls are 16
35 : (c) ⇒ Total outcomes is 30 and pink coloured marbles are 7