CBSE Class 10 Mathematics Chapter 15 Probability Multiple Choice Questions with Answers. MCQ Class 10 Maths Probability with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Probability MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 4
Question 1:
A ticket is drawn at random from a bag containing tickets numbered from 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is
(a) 3/5
(b) 1/5
(c) 1/3
(d) 4/5
Correct Answer – (B)
Reason: Total number = 40
∴ n(S) = 40
Number of favourable events are 5,10,15, 20, 25, 30, 35, 40 = 8
∴ Probability (multiple of 5) =8/40=1/5
Question 2 :
One card is drawn from a well-shuffled deck of 52 cards. The probability that the card will not be an ace is
(a) 1/13
(b) 4/13
(c)12/13
(d) 3/13
Correct Answer – (C)
Reason: Total cards = 52
∴ Total events = 52
No. of ace cards = 4
Non-ace cards = 52 – 4 = 48
∴ P(not an ace) =48/52=12/13
Question 3 :
A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. The probability that a red ball drawn is
(a) 3/8
(b) 1/2
(c) 5/8
(d) 3/4
Correct Answer – (A)
Reason: Total balls = 3 + 5 = 8
∴ Total events = 8
P(a red ball) = 3/8
Question 4 :
A girl calculates that the probability of her winning the first prize in a lottery is 8/100. If 6,000 tickets are sold, how many tickets has she bought?
(a) 400
(b) 750
(c) 480
(d) 240
Correct Answer – (C)
Question 5 :
The total events to throw three dice simultaneously is
(a) 6
(b) 18
(c) 81
(d) 216
Correct Answer – (D)
Question 6 :
A lot consists of 144 ball pens of which 20 ae defective and the others are good. Tanu will buy a pen if it is good but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. The probability that she will buy that pen is
(a) 5/26
(b) 20/26
(c) 31/36
(d) 31/144
Correct Answer – (C)
Reason: Total ball pens = 144
Defective ball pens = 20
Good ball pens = 144 – 20 = 124
∴ P(she will buy a pen) = P(good ball pen) =124/144=31/36
Question 7 :
A child has a die whose six faces show the letters as given below:
| A | B | C | D | E | F |
The die is thrown once. The probability of getting a ‘D’ is
(a) 1/2
(b) 1/3
(c) 1/4
(d) 1/6
Correct Answer – (D)
Reason: Sample space S = [A, B, C, D, E, F] = 6
∴ n(S) = 6
∴ P(getting D) = 1/6
Question 8 :
A card is drawn from a well shuffled deck of 52 cards. The probability of a seven of spade is
(a) 1/26
(b) 1/52
(c) 3/52
(d) 1/13
Correct Answer – (B)
Reason: Total cards = 52, A seven of spade = 1
∴ P(a seven of spade) = 1/52
Question 9 :
The probability of getting a consonant from the word MAHIR is
(a) 2/5
(b) 3/5
(c) 4/5
(d) 1
Correct Answer – (B)
Reason: Total characters in MAHIR = 5,
Consonants are M, H, R i.e., 3
∴ P(getting a consonant) = 3/5
Question 10 :
Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out from the bag at random. The probability that the number on the card taken out is an even number, is
(a) 1/20
(b) 1/4
(c) 1/3
(d) 1/2
Correct Answer – (D)
Reason: Total cards = 18
Cards with even numbers are 4, 6, 8, 10, 12, 14, 16, 18, 20 = 9
∴ P(even number) =9/18=1/2
