Mathematics MCQ | Class 09 | Chapter 15
PROBABILITY
Multiple Choice Questions (MCQ)
- MCQ Based on the definition of probability.
- MCQ Based on the tossing of coins.
- MCQ Based on the tossing of die.
- MCQ Based on the Playing Cards.
Features
- In the MCQ given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations.
- Solution Hints are also given to some difficult problems.
- Each MCQ contains four options from which one option is correct.
Action Plan
- First of all students should Learn and write all basic points and Formulas related to the Chapter 15 Probability.
- Start solving the NCERT Problems with examples.
- Solve the important assignments on the Chapter 15 Class IX.
- Then start solving the following MCQ.
MCQ |Chapter 15 | Probability | Class IX
Question 1
1) The probability of
each event, when a coin is tossed for 1000 times with frequencies: Head: 455
& Tail: 545 is:
a)
0.455 & 0.545
b)
0.5 & 0.5
c)
0.45 & 0.55
d)
455 & 545
Answer: a
Question 2
Marks
obtained by a student in a test is shown in the table below.
|
Test no. |
1 |
2 |
3 |
4 |
5 |
|
Marks |
81 |
87 |
76 |
70 |
90 |
What is the probability that the student has scored more than
80?
a) 3/5
b) 4/5
c) 2/5
d) 1/2
Answer a
Question 3
When a die is thrown, what is
the probability of getting even number
a) 1/6
b) 1/3
c) 1/2
d) 2/3
Answer c
Question 4
The sum of all probabilities equal to:
a)
4
b)
1
c)
3
d)
2
Answer: b
Question 5
3) The probability of each
event lies between:
a)
1 & 2
b)
1 & 10
c)
0 & 1
d)
0 & 5
Answer: c
Question 6
Probability
of impossible event is
a)
1
b)
0
c) Less
than 0
d)
Greater than 1
Answer
b
Question 7
If P(E) = 0.44, then P(not
E) will be:
a)
0.44
b)
0.55
c)
0.50
d)
0.56
Answer: d
Explanation: We know;
P(E) + P(not E) = 1
0.44 + P(not E) = 1
P(not E) = 1 – 0.44 = 0.56
Question 8
Probability
of certain (sure) event is
a) 1
b) 0
c)
Greater than 1
d)
Less than 0
Answer
a
Question 9
If P(E) = 0.38, then
probability of event E, not occurring is:
a)
0.62
b)
0.38
c)
0.48
d)
1
Answer: a
Explanation: P(not E) = 1 – P(E) = 1-0.38 = 0.62
Question 10
Two coins are tossed simultaneously.
The probability of getting atmost one head is
a) 1/4
b) 3/4
c) 1/2
d) 1/4
Answer b
Question 11
The probability of drawing
an ace card from a deck of cards is:
a)
1/52
b)
1/26
c)
4/13
d)
1/13
Answer: d
Explanation: There are 4 aces in a deck of card.
Hence, the probability of taking one ace out of 52 cards = 4/52
= 1/13
Question 12
A coin is tossed 1000 times,
if the probability of getting a tail is 3/8, how many times head is obtained.
a) 525
b) 375
c) 625
d) 725
Answer b
Question 13
If the probability of an
event to happen is 0.3 and the probability of the event not happening is:
a)
0.7
b)
0.6
c)
0.5
d)
None of the above
Answer: a
Explanation: Probability of an event not happening = 1 – P(E)
P(not E) = 1 – 0.3 = 0.7
Question 14
A coin is tossed 1000 times,
if the probability of getting a tail is 3/8, how many times head is obtained.
a) 525
b) 375
c) 625
d) 725
Answer c
Question 15
A dice is thrown. The
probability of getting 1 and 5 is:
a)
1/6
b)
2/3
c)
1/3
d)
1/2
Answer: c
Explanation: The probability of getting 1 and 5 = 2/6 = 1/3
Question 16
In a football match, Ronaldo
makes 4 goals from 10 panalty kicks. The probability of converting a penalty
kick into a goal by Ronaldo, is
a) 1/4
b) 1/6
c) 1/3
d) 2/5
Answer d
Question 17
A batsman hits boundaries
for 6 times out of 30 balls. Find the probability that he did not hit the boundaries.
a)
1/5
b)
2/5
c)
3/5
d)
4/5
Answer: d
Explanation: No. of boundaries = 6
No. of balls = 30
No. of balls without boundaries = 30 – 6 =24
Probability of no boundary = 24/30 = 4/5
Question 18
From a deck of 52 shuffled playing
cards, a card is drawn What is the probability of drawing a king or queen
a) 1/13
b) 2/13
c) 3/13
d 1/52
Answer b
Question 19
Three coins were tossed
200 times. The number of times 2 heads came up is 72. Then the probability of 2
heads coming up is:
a)
1/25
b)
2/25
c)
7/25
d)
9/25
Answer: d
Explanation: Probability = 72/200 = 9/25
Question 20
From a deck of 52 shuffled playing
cards, a card is drawn What is the probability of drawing a red face card
a) 1/13
b) 2/13
c) 3/26
d 1/26
Answer c
Question 21
What is the probability of getting an odd number less than 4, if a die is
thrown?
a) 1/6
b) 1/2
c) 1/3
d) 0
Answer: c
Explanation:
Sample space, S = {1, 2, 3, 4, 5, 6}
Favorable
outcomes = {1, 3}
Therefore, the
probability of getting an odd number less than 4 = 2/6 = 1/3.
Question 22
From a deck of 52 shuffled playing
cards, a card is drawn What is the probability of drawing a black king card
a) 1/13
b) 2/13
c) 3/26
d 1/26
Answer d
Question 23
What is the probability of impossible events?
a) 1
b) 0
c) More than 1
d) Less than 1
Answer: b
Explanation: The
probability of an impossible event is always 0.
Question 24
Performing an event once is called
a) Sample
b) Trial
c) Error
d) None of the above
Answer: b
Explanation:
Performing an event once is called a trial.
Question 25
In a counting from 1 to 10,
what is the probability of finding a prime number
a) 1/2
b) 3/10
c) 2/5
d) 1/10
Answer c
Question 26
A card is drawn from a well-shuffled deck of 52 cards. What is the probability
of getting a king of the red suits?
a) 3/36
b) 1/26
c) 3/26
d) 1/16
Answer: b
Explanation: In
a pack of 52 cards, there are a total of 4 king cards, out of which 2 are red
and 2 are black.
Therefore, in a
red suit, there are 2 king cards.
Hence, the
probability of getting a king of red suits = 2/52 = 1/26.
Question 27
In a counting from 1 to 10,
what is the probability of finding a composite number
a) 1/2
b) 3/10
c) 2/5
d) 1/10
Answer a
Question 28
Find the probability of a selected number is a multiple of 4 from the numbers
1, 2, 3, 4, 5, …15.
a) 1/5
b) 1/3
c) 4/12
d) 2/15
Answer: a
Explanation: S =
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Multiples of 4
from the sample space = {4, 8, 12}
Therefore, the
probability of the selected number is a multiple of 5 is 3/15 = 1/5.
Question 29
In the word MATHEMATICS, what
is the probability of finding a vowel
a) 1/11
b) 2/11
c) 3/11
d) 4/11
Answer d
Question 30
What is the probability of drawing a queen from the deck of 52 cards?
a) 1/26
b) 1/52
c) 1/13
d) 3/52
Answer: c
Explanation:
Total cards = 52
Number of queens
in a pack of 52 cards = 4
Hence, the
probability of drawing a queen from a deck of 52 cards = 4/52 = 1/13
Question 31
In the word MATHEMATICS, what
is the probability of finding a consonant
a) 5/11
b) 6/11
c) 4/11
d) 7/11
Answer d
Question 32
Which of the following cannot be the probability of an event?
a) 1
b) 0
c) 0.75
d) 1.3
Answer: d
Explanation: The
probability of an event always lies between 0 and 1.
Question 33
There are 4 green and 2 red balls in a basket. What is the probability of
getting the red balls?
a) 1/2
b) 1/3
c) 1/5
d) 1/6
Answer: b
Explanation:
Total balls = 4 green + 2 red = 6 balls
No. of red balls
= 2.
Hence, the
probability of getting the red balls = 2/6 = 1/3
Question 34
Empirical probability is also known as
a) Classic probability
b) Subjective probability
c) Experimental probability
d) None of the above
Answer: c
Explanation: Empirical
probability is also known as experimental probability.
Question 35
If two coins are tossed simultaneously, then what is the probability of getting
exactly two tails?
a) 1/4
b) 1/2
c) 1/3
d) None of the above
Answer: a
Explanation: If
two coins are tossed, then the sample space, S = {HH, HT, TH, TT}
Favorable
outcome (Getting exactly two tails) = {TT}
Therefore, the
probability of getting exactly two heads = 1/4
