CBSE Class 10 Maths Chapter-15 Probability – Free PDF Download
Free PDF download of Important Questions with Answers for CBSE Class 10 Maths Chapter 15 – Probability prepared by expert Maths teachers from latest edition of CBSE(NCERT) books only by CoolGyan to score more marks in CBSE board examination.
CBSE Class 10 Maths Chapter-15 Probability Important Questions
CBSE Class 10 Maths Important Questions Chapter 15 – Probability
1 Mark Questions
1. Complete the statements:
(i) Probability of event E + Probability of event “not E” = _______________
(ii) The probability of an event that cannot happen is _______________. Such an event is called _______________.
(iii) The probability of an event that is certain to happen is _______________. Such an event is called _______________.
(iv) The sum of the probabilities of all the elementary events of an experiment is _______________.
(v) The probability of an event is greater than or equal to _______________ and less than or equal to _______________.
Ans. (i) 1
(ii) 0, impossible event.
(iii) 1, sure or certain event
(iv) 1
(v) 0, 1
2. Which of the following cannot be the probability of an event:
(A) 
(B) 
(C) 15%
(D) 0.7
Ans. (B) Since the probability of an event E is a number P(E) such that
0 
P(E) 1
cannot be the probability of an event.
3. If P(E) = 0.05, what is the probability of ‘not E’?
Ans. Since P(E) + P (not E) = 1
P (not E) = 1 – P(E) = 1 – 0.05 = 0.95
4. It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?
Ans. Let E be the event of having the same birthday
P(E) = 0.992
But P(E) + P
= 1
P = 1 – P(E) = 1 – 0.992 = 0.008
5. 12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.
Ans. Total number of favourable outcomes = 132 + 12 = 144
Number of favourable outcomes = 132
Hence, P (getting a good pen) = 
6. Which of the following is polynomial?
(a) 
(b) 
(c) 
(d) none of these
Ans. (d) none of these
7. Polynomial 
is a
(a) linear polynomial
(b) quadratic polynomial
(c) cubic polynomial
(d) bi-quadratic polynomial
Ans. (d) bi-quadratic polynomial
8. If 
and 
are zeros of 
, then the value of 
is
(a) 5
(b) -5
(c) 8
(d) -8
Ans. (b) -5
9. The sum and product of the zeros of a quadratic polynomial are 2 and -15 respectively. The quadratic polynomial is
(a) 
(b) 
(c) 
(d) 
Ans. (b)
10. Cards each marked with one of the numbers 4,5,6,…20 are placed in a box and mixed thoroughly. One card is drawn at random from the box, what is the probability of getting an even prime number?
(a) 0
(b) 1
(c) 2
(d) 3
Ans. (a) 0
11. A bag contains 5 red and 4 black balls. A ball is drawn at random from the bag. What is the probability of getting a black ball?
(a) 
(b) 
(c) 
(d) None of these
Ans. (c)
12. A dice is thrown once, what is the probability of getting a prime number?
(a) 1
(b) 
(c) 
(d) 0
Ans. (b)
13. What is the probability that a number selected from the numbers 1,2,3,…15 is a multiple of 4?
(a) 
(b)
(c) 
(d) 1
Ans. (a)
14. Cards marked with the numbers 2 to 51 are placed in a box and mixed throughly. One card is drawn from this box, find the probability that the number on the card is an even number.
(a)
(b) 1
(c)
(d) None of these
Ans. (a)
15. The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. One card is selected from the remaining cards, find the probability of getting a king.
(a) 
(b) 1
(c) 
(d) none of these
Ans. (a)
16. What is the probability of getting a number less than 7 in a single throw of a die?
(a)
(b) 0
(c) 1
(d) none of these
Ans. (c) 1
17. One card is drawn from a well shuffled deck of 52 cards. Find the probability of drawing ‘10’ of a black suit.
(a) 
(b) 1
(c)
(d) 0
Ans. (a)
18. Cards each marked with one of the numbers 4,5,6,…20 are placed in a box and mixed thoroughly. One card is drawn at random from the box, what is the probability of getting an even prime number?
(a) 0
(b) 1
(c) 2
(d) 3
Ans. (a) 0
19. A bag contains 5 red and 4 black balls. A ball is drawn at random from the bag. What is the probability of getting a black ball?
(a)
(b)
(c)
(d) None of these
Ans. (c)
20. A dice is thrown once, what is the probability of getting a prime number?
(a) 1
(b)
(c)
(d) 0
Ans. (b)
21. What is the probability that a number selected from the numbers 1,2,3,…15 is a multiple of 4?
(a)
(b)
(c)
(d) 1
Ans. (a)
22. If E be any event, then value of P(E)lie in between
(a) 
(b) 
(c) 
(d)
Ans. (c)
23. Maximum and minimum value of probability is
(a) (1,1)
(b) (1,0)
(c) (0,1)
(d) none of these
Ans. (b) (1,0)
24. An unbiased die is thrown. What is the probability of getting an even number or a multiple of 3?
(a)
(b)
(c) 1
(d) none of these
Ans. (a)
25. Let E be any event, then the value of P(E) + P (not E) equals to
(a) 1
(b) 0
(c) 3
(d)
Ans. (a) 1
26. Degree of polynomial y3 – 2y2 – 
is
(a) 
(b) 2
(c) 3
(d) 
Ans. (c) 3
27. Zeros of P(x) = 2x2 + 9x – 35 are
(a) 7 and 
(b) -7 and
(c) 7 and 5
(d) 7 and 2
Ans. (b) -7 and
28. The quadratic polynomial whore zeros are 3 and -5 is
(a) x2 + 2x – 15
(b) x2 + 3x – 8
(c) x2 – 5x – 15
(d) None of these
Ans. (a) x2 + 2x – 15
29. If and are the zeros of the quadratic polynomial P(x) = x2 – px + q, then the value of 
is equal to
(a) p2 – 2q
(b) 
(c) q2 – 2p
(d) none of these
Ans. (a) p2 – 2q