Bulbs are packed in cartons each containing 40 bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the following table: Number of defective bulbs 0 1 2 3 4 5 6 More than 6 Frequency 400 180 48 41 18 8 3 2 One carton was selected at random. What is the probability that it has defective bulbs from 2 to 6 ?

700 hundred cartons were examined for defective bulbs. One carton was selected at random. Let E 2 be the event that selected carton has defective bulbs from 2 to 6 . From the table given above, we see that the number of times the event happened = 48 + 41 + 18 + 8 + 3 = 118 ∴ P E 2 = Number of trials in which the event happened Total number of trials = 118 700 = 59 350

Bulbs are packed in cartons each containing 40 bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the following table: Number of defective bulbs 0 1 2 3 4 5 6 More than 6 Frequency 400 180 48 41 18 8 3 2 One carton was selected at random. What is the probability that it has defective bulbs less than 4 ?

700 hundred carton were examined for defective bulbs. One carton was selected at random. Let E 3 be the event that selected carton has defective bulbs less than 4 . From the table given above, we see that the number of times the event happened = 400 + 180 + 48 + 41 = 669 ∴ P E 3 = Number of trials in which the event happened Total number of trials = 669 700

A recent survey found that the age of workers in a factory are distributed as follows: Age (in years) Number of workers 20 - 29 38 30 - 39 27 40 - 49 86 50 - 59 46 60 and above 3 If a person is selected at random, find the probability that the person is 40 years or more,

Total number of workers in a factory = 38 + 27 + 86 + 46 + 3 = 200 Let E 1 be the event that the person selected at random is of 40 years or more. From the table given above, we see that the number of times the event E 1 happened = 86 + 46 + 3 = 135 ∴ P E 1 = Number of trials in which the event happened Total number of trials = 135 200 = 0 . 675

A recent survey found that the ages of workers in a factory are distributed as follows: Age (in years) Number of workers 20 - 29 38 30 - 39 27 40 - 49 86 50 - 59 46 60 and above 46 If a person is selected at random, find the probability that the person is under 40 years,

Total number of workers in a factory = 38 + 27 + 86 + 46 + 3 = 200 Let E 2 be the event that the person selected at random is under 40 years. From the table given above, we see that the number of times the event happened = 38 + 27 = 65 ∴ P E 2 = Number of trials in which the event happened Total number of trials = 65 200 = 0 . 325

A recent survey found that the ages of workers in a factory are distributed as follows: Age (in years) Number of workers 20 - 29 38 30 - 39 27 40 - 49 86 50 - 59 46 60 and above 46 If a person is selected at random, find the probability that the person is having age from 30 to 39 years,

Total number of workers in a factory = 38 + 27 + 86 + 46 + 3 = 200 Let E 3 be the event that the person selected at random is having age from 30 to 39 years. From the table given above, we see that the number of times the event happened = 27 ∴ P E 3 = Number of trials in which the event happened Total number of trials = 27 200 = 0 . 135

A recent survey found that the ages of workers in a factory is distributed as follows: Age (in years) Number of workers 20 - 29 38 30 - 39 27 40 - 49 86 50 - 59 46 60 and above 46 If a person is selected at random, find the probability that the person is: under 60 but over 39 years.

Total number of workers in a factory = 38 + 27 + 86 + 46 + 3 = 200 Let, E be the event that the person selected at random is having age under 60 but over 39 years. From the table given, we see that the number of workers whose age is above 39 years and below 60 years = 86 + 46 = 132 ∴ P E = Number of workers whose age is above 39 and below 60 Total number of workers = 132 200 = 0 . 66

NCERT Solutions for Chapter: Statistics and Probability, Exercise 3: Exercise

Author:NCERT

NCERT Mathematics Solutions for Exercise - NCERT Solutions for Chapter: Statistics and Probability, Exercise 3: Exercise

Attempt the free practice questions on Chapter 14: Statistics and Probability, Exercise 3: Exercise with hints and solutions to strengthen your understanding. NCERT Exemplar Mathematics - Class 9 solutions are prepared by Experienced Embibe Experts.

Questions from NCERT Solutions for Chapter: Statistics and Probability, Exercise 3: Exercise with Hints & Solutions

EASY

9th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 9>Chapter 14 - Statistics and Probability>Exercise>Q 10

Obtain the mean of the following distribution:

Frequency	Variable
$4$	$4$
$12$	$6$
$14$	$8$
$11$	$10$
$3$	$12$

MEDIUM

9th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 9>Chapter 14 - Statistics and Probability>Exercise>Q 17

Two dice are thrown simultaneously $500$ times. Each time the sum of the two numbers appearing on their tops is noted and recorded as given in the following table:

Sum	Frequency
$2$	$14$
$3$	$30$
$4$	$42$
$5$	$55$
$6$	$72$
$7$	$75$
$8$	$70$
$9$	$53$
$10$	$46$
$11$	$28$
$12$	$15$

If the dice are thrown once more, what is the probability of getting a sum $3$ ?

MEDIUM

9th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 9>Chapter 14 - Statistics and Probability>Exercise>Q 18

Bulbs are packed in cartons each containing $40$ bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the following table:

Number of defective bulbs	$0$	$1$	$2$	$3$	$4$	$5$	$6$	More than $6$
Frequency	$400$	$180$	$48$	$41$	$18$	$8$	$3$	$2$

One carton was selected at random. What is the probability that it has defective bulbs from $2$ to $6$ ?

MEDIUM

9th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 9>Chapter 14 - Statistics and Probability>Exercise>Q 18

Bulbs are packed in cartons each containing $40$ bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the following table:

Number of defective bulbs	$0$	$1$	$2$	$3$	$4$	$5$	$6$	More than $6$
Frequency	$400$	$180$	$48$	$41$	$18$	$8$	$3$	$2$

One carton was selected at random. What is the probability that it has defective bulbs less than $4$ ?

MEDIUM

9th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 9>Chapter 14 - Statistics and Probability>Exercise>Q 20

A recent survey found that the age of workers in a factory are distributed as follows:

Age (in years)	Number of workers
$20 - 29$	$38$
$30 - 39$	$27$
$40 - 49$	$86$
$50 - 59$	$46$
$60$ and above	$3$

If a person is selected at random, find the probability that the person is $40$ years or more,

MEDIUM

9th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 9>Chapter 14 - Statistics and Probability>Exercise>Q 20

A recent survey found that the ages of workers in a factory are distributed as follows:

Age (in years)	Number of workers
$20 - 29$	$38$
$30 - 39$	$27$
$40 - 49$	$86$
$50 - 59$	$46$
$60$ and above	$46$

If a person is selected at random, find the probability that the person is under $40$ years,

MEDIUM

9th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 9>Chapter 14 - Statistics and Probability>Exercise>Q 20

A recent survey found that the ages of workers in a factory are distributed as follows:

Age (in years)	Number of workers
$20 - 29$	$38$
$30 - 39$	$27$
$40 - 49$	$86$
$50 - 59$	$46$
$60$ and above	$46$

If a person is selected at random, find the probability that the person is having age from $30$ to $39$ years,

MEDIUM

9th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 9>Chapter 14 - Statistics and Probability>Exercise>Q 20

A recent survey found that the ages of workers in a factory is distributed as follows:

Age (in years)	Number of workers
$20 - 29$	$38$
$30 - 39$	$27$
$40 - 49$	$86$
$50 - 59$	$46$
$60$ and above	$46$

If a person is selected at random, find the probability that the person is: under $60$ but over $39$ years.

NCERT Solutions for Chapter: Statistics and Probability, Exercise 3: Exercise

NCERT Mathematics Solutions for Exercise - NCERT Solutions for Chapter: Statistics and Probability, Exercise 3: Exercise

Questions from NCERT Solutions for Chapter: Statistics and Probability, Exercise 3: Exercise with Hints & Solutions

Learn and Prepare for any exam you want !