### Maths MCQ Class IX Ch-14 | Statistics

Mathematics  MCQ | Class 09 | Chapter 14 STATISTICS Multiple Choice Questions (MCQ) MCQ Based on the Data. MCQ  Based on the Mean of Data. MCQ Based on the Median. MCQ Based on the Mode. 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 14 Statistics. Start solving  the NCERT Problems with examples. Solve the important assignments on the Chapter 14 Class IX. Then start solving the following MCQ. MCQ |Chapter 14 | Statistics | Class IX

### Maths MCQ Class IX Ch-15 | Probability

Mathematics MCQ | Class 09 | Chapter 15

# PROBABILITY

## 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

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

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

Question 4

The sum of all probabilities equal to:

a) 4

b) 1

c) 3

d) 2

Question 5

3) The probability of each event lies between:

a) 1 & 2

b) 1 & 10

c) 0 & 1

d) 0 & 5

Question 6

Probability of impossible event is

a) 1

b) 0

c) Less than 0

d) Greater than 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Question 23

What is the probability of impossible events?

a) 1

b) 0

c) More than 1

d) Less than 1

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

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

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

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

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

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

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

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

Question 32

Which of the following cannot be the probability of an event?

a) 1

b) 0

c) 0.75

d) 1.3

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

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

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

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