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NCERT Class 10 Maths Chapter 14 Online Test – Probability (50 MCQs) | Board Exam 2026

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NCERT Class 10 Maths Chapter 14 Online Test – Probability (50 MCQs)
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NCERT Class 10 Maths – Chapter 14: Probability

Online Test (Strictly NCERT Based) – Board Exam 2026

Q1. Probability of getting a head when tossing a fair coin is:

0
1
1/2
2
A fair coin has two equally likely outcomes; P(head)=1/2.

Q2. Probability of getting a tail when tossing a fair coin is:

0
1/2
1
2
Equally likely outcomes; P(tail)=1/2.

Q3. Probability of an impossible event is:

0
1/2
1
-1
By definition, impossible event has probability 0.

Q4. Probability of a sure event is:

0
1/2
1
2
A sure event always occurs; probability is 1.

Q5. A die is thrown once. Probability of getting a number less than 3 is:

1/6
1/3
1/2
1/3
Favourable outcomes {1,2}; P=2/6=1/3.

Q6. A die is thrown once. Probability of getting 5 is:

1/3
1/6
1/2
1
One favourable outcome out of six; P=1/6.

Q7. Probability of getting an even number on a fair die is:

1/6
1/3
1/2
2/3
Even numbers {2,4,6}; P=3/6=1/2.

Q8. Probability of getting an odd number on a fair die is:

1/2
1/3
1/6
2/3
Odd numbers {1,3,5}; P=3/6=1/2.

Q9. A card is drawn from a well-shuffled deck. Probability of getting a red card is:

1/4
1/2
3/4
1
26 red cards out of 52; P=26/52=1/2.

Q10. Probability of getting a black card from a deck is:

1/4
3/4
1/2
1
26 black cards out of 52; P=1/2.

Q11. A card is drawn. Probability of getting an ace is:

1/13
1/26
1/52
4/13
4 aces in 52 cards; P=4/52=1/13.

Q12. Probability of getting a spade from a deck is:

1/4
1/2
3/4
1/4
13 spades in 52 cards; P=13/52=1/4.

Q13. Two coins are tossed. Probability of getting two heads is:

1/2
1/4
1/3
3/4
Outcomes {HH,HT,TH,TT}; P(HH)=1/4.

Q14. Two coins are tossed. Probability of getting exactly one head is:

1/4
1/2
1/2
3/4
Favourable {HT,TH}; P=2/4=1/2.

Q15. Probability always lies between:

0 and 1
-1 and 1
0 and 2
1 and 2
Probability ranges from 0 to 1 inclusive.

Q16. A die is thrown. Probability of getting a prime number is:

1/6
1/3
1/2
1/2
Primes {2,3,5}; P=3/6=1/2.

Q17. Probability of getting a number greater than 4 on a die is:

1/6
1/3
1/2
2/3
Favourable {5,6}; P=2/6=1/3.

Q18. Probability of getting a number divisible by 3 on a die is:

1/6
1/3
1/3
1/2
Divisible by 3: {3,6}; P=2/6=1/3.

Q19. A bag has 3 red and 2 blue balls. Probability of picking a red ball is:

3/5
2/5
1/5
1/2
Total 5 balls; P(red)=3/5.

Q20. A bag has 3 red and 2 blue balls. Probability of picking a blue ball is:

3/5
2/5
1/5
1/2
P(blue)=2/5.

Q21. If P(E)=3/7, then P(not E) is:

3/7
4/7
4/7
1
P(not E)=1−P(E)=4/7.

Q22. Probability of getting a vowel when selecting a letter from the English alphabet is:

5/26
21/26
1/26
1/2
Vowels=5; total letters=26; P=5/26.

Q23. Probability of getting a consonant from English alphabet is:

5/26
1/2
1/26
21/26
Consonants=21; P=21/26.

Q24. A card is drawn. Probability of getting a king is:

1/26
1/13
1/52
4/13
4 kings; P=4/52=1/13.

Q25. Probability of getting a face card from a deck is:

3/13
1/13
1/4
1/2
12 face cards; P=12/52=3/13.

Q26. A die is thrown. Probability of getting 1 or 2 is:

1/6
1/3
1/3
1/2
Favourable {1,2}; P=2/6=1/3.

Q27. Probability of getting a number not divisible by 3 on a die is:

1/3
2/3
1/2
1/6
Not divisible by 3: {1,2,4,5}; P=4/6=2/3.

Q28. Two dice are thrown. Total number of outcomes is:

36
12
6
24
Each die has 6 outcomes; total=6×6=36.

Q29. Two dice are thrown. Probability of getting sum 7 is:

1/12
1/9
1/6
1/6
Favourable outcomes=6; P=6/36=1/6.

Q30. Two dice are thrown. Probability of getting sum 2 is:

1/6
1/36
1/12
1/18
Only (1,1); P=1/36.

Q31. Probability of getting sum 12 when two dice are thrown is:

1/6
1/12
1/36
1/18
Only (6,6); P=1/36.

Q32. A bag has 5 white and 5 black balls. Probability of picking a white ball is:

1/2
1/5
5
2/5
P(white)=5/10=1/2.

Q33. A bag has 4 red, 6 blue balls. Probability of picking a red ball is:

3/5
2/5
1/5
1/2
P(red)=4/10=2/5.

Q34. Probability of getting a multiple of 3 on a die is:

1/6
1/2
1/3
2/3
Multiples of 3: {3,6}; P=2/6=1/3.

Q35. Probability of getting a number less than 7 on a die is:

1
5/6
1/6
0
All outcomes {1–6}; P=6/6=1.

Q36. Probability of getting a number greater than 6 on a die is:

1
1/6
1/2
0
No such outcome; probability 0.

Q37. A card is drawn. Probability of getting a diamond is:

1/2
1/4
3/4
1
13 diamonds; P=13/52=1/4.

Q38. A card is drawn. Probability of getting a non-face card is:

10/13
3/13
1/13
1/2
Non-face cards=40; P=40/52=10/13.

Q39. Two coins are tossed. Probability of getting no head is:

1/2
1/3
1/4
3/4
Outcome TT only; P=1/4.

Q40. Two coins are tossed. Probability of getting at least one head is:

1/4
3/4
1/2
1
Favourable {HH,HT,TH}; P=3/4.

Q41. Probability of selecting a prime number from {1,2,3,4,5} is:

3/5
2/5
1/5
4/5
Primes {2,3,5}; P=3/5.

Q42. Probability of selecting an even number from {1,2,3,4,5,6} is:

1/6
1/3
1/2
1/2
Even numbers {2,4,6}; P=3/6=1/2.

Q43. A bag has 7 red and 3 green balls. Probability of picking a green ball is:

7/10
3/10
1/10
1/2
P(green)=3/10.

Q44. Probability of selecting a letter other than a vowel from English alphabet is:

21/26
5/26
1/26
1/2
Consonants=21; P=21/26.

Q45. Probability of selecting a multiple of 5 from {5,10,15,20} is:

1/4
3/4
1
0
All are multiples of 5; P=4/4=1.

Q46. Probability of getting a number less than 1 on a die is:

1
0
1/6
1/2
No outcome less than 1; probability 0.

Q47. Probability of drawing a heart from a deck is:

1/4
1/2
3/4
1
13 hearts; P=13/52=1/4.

Q48. Probability of getting a number between 1 and 6 on a die is:

0
1/6
5/6
1
All outcomes 1–6; P=1.

Q49. If P(E)=0.35, then P(not E) equals:

0.35
0.65
1.35
-0.35
P(not E)=1−0.35=0.65.

Q50. Chapter 14 of Class 10 Maths deals with:

Probability
Statistics
Trigonometry
Geometry
Chapter 14 is Probability.
Q1 Probability of head. Q2 Probability of tail. Q3 Probability of impossible event. Q4 Probability of sure event. Q5 Die less than 3. Q6 Die equals 5. Q7 Even on die. Q8 Odd on die. Q9 Red card. Q10 Black card. Q11 Ace. Q12 Spade. Q13 Two heads. Q14 Exactly one head. Q15 Range of probability. Q16 Prime on die. Q17 Greater than 4. Q18 Divisible by 3. Q19 Red ball. Q20 Blue ball. Q21 Complementary probability. Q22 Vowel from alphabet. Q23 Consonant from alphabet. Q24 King. Q25 Face card. Q26 1 or 2 on die. Q27 Not divisible by 3. Q28 Two dice outcomes. Q29 Sum 7. Q30 Sum 2. Q31 Sum 12. Q32 White ball. Q33 Red ball probability. Q34 Multiple of 3. Q35 Less than 7. Q36 Greater than 6. Q37 Diamond. Q38 Non-face card. Q39 No head. Q40 At least one head. Q41 Prime from set. Q42 Even from set. Q43 Green ball. Q44 Non-vowel. Q45 Multiple of 5. Q46 Less than 1. Q47 Heart. Q48 Between 1 and 6. Q49 Complement. Q50 Chapter identification.
Disclaimer: We are not affiliated with NCERT. Although every care has been taken in creating this test, in case of any confusion, students should consider the NCERT textbooks and the opinion of their subject teacher as final.

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