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 - 6
Question 1:
What is the probability of getting 53 Mondays in a leap year?
(A) 1/7
(B) 53/366
(C) 2/7
(D) 7/366
Correct Answer – (C)
With 366 days, the number of weeks in a year is
366/7 = 52 (2/7)
i.e., 52 complete weeks which contains 52 Mondays,
Now 2 days of the year are remaining.
These two days can be
(Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday)
i.e., there are 7 pairs, in which Monday occurs in 2 pairs,
So probability is:
P (53 Monday) = 2/7
Question 2 :
A box of 600 bulbs contains 12 defective bulbs. One bulb is taken out at random from this box. Then the probability that it is non-defective bulb is:
(A) 143/150
(B) 147/150
(C) 1/25
(D) 1/50
Correct Answer – (B)
P (non-defective bulb) = 1 – P (Defective bulb)
= 1 – (12/600)
= (600 – 12)/600
= 588/600
= 147/150
Question 3 :
100 cards are numbered from 1 to 100. Find the probability of getting a prime number.
(A) 3/4
(B) 27/50
(C) 1/4
(D) 29/100
Correct Answer – (C)
Total prime numbers from 1 to 100 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
That means 25 out of 100
So probability is:
P (prime) = 25/100
⇒ P (prime) = 1/4
Question 4 :
Two coins are thrown at the same time. Find the probability of getting both heads.
(A) 3/4
(B) 1/4
(C) 1/2
(D) 0
Correct Answer – (B)
Since two coins are tossed, therefore total number of cases = 22 = 4
Therefore, probability of getting heads in both coins is:
∴ P (head) = 1/4
Question 5 :
One ticket is selected at random from 100 tickets numbered 0.0, 01, 02, ……, 99. Suppose x is the sum of digits and y is the product of digits, then probability that x = 9 and y = 0 is
(a) 2/27
(b) 3/27
(c) 1/50
(d) 1/25
Correct Answer – (C)
Sum of digits = 9 and product = 0
∴ Number is either 09 or 90.
∴ Required probability = 2/100=1/50
Question 6 :
Cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box randomly, then the probability that the number on card is a perfect square.
(A) 9/100
(B) 1/10
(C) 3/10
(D) 19/100
Correct Answer – (B)
The perfect square numbers between 2 to 101 are:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Total numbers from 2 to 101 =100
So probability of getting a card with perfect square number is:
P (perfect square) = 10/100
⇒ P (perfect square) = 1/10
Question 7 :
A bag contains 5 red balls and some blue balls .If the probability of drawing a blue ball is double that of a red ball, then the number of blue balls in a bag is:
(A) 5
(B) 10
(C) 15
(D) 20
Correct Answer – (B)
Let the number of blue balls be x
Then total number of balls will be 5 + x.
According to question,
x/(5 + x) = 2 X (5/5+x)
⇒ x = 10
Question 8 :
Two dice are thrown simultaneously. The probability of getting a sum of 9 is:
(A) 1/10
(B) 3/10
(C) 1/9
(D) 4/9
Correct Answer – (C)
Total cases = 36
Total cases in which sum of 9 can be obtained are:
(5, 4), (4, 5), (6, 3), (3, 6)
∴ P (9) = 4/36 = 1/9
Question 9 :
A dice is thrown. Find the probability of getting an even number.
(A) 2/3
(B) 1
(C) 5/6
(D) 1/2
Correct Answer – (D)
Question 10 :
A man is known to speak truth 3 out of 4 times. He throws a die and a number other than six comes up. Find the probability that he reports it is a six.
(a) 3/4
(b) 1/4
(c) 1/2
(d) 1
Correct Answer – (B)
When a number other than six appears
and man reports it is a six, it means man is telling a lie.
∴ Probability = 1 – 3/4=1/4
