(D) Total number of workers in the factory $= 38 + 27 + 86 + 46 + 3 = 200$.Let $E$ be the event that the person selected at random is under $40$ years

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(D) Total number of workers in the factory $= 38 + 27 + 86 + 46 + 3 = 200$.Let $E$ be the event that the person selected at random is under $40$ years of age.The workers under $40$ years are those in the age groups $20-29$ and $30-39$.Number of workers under $40$ years $= 38 + 27 = 65$.The probability $P(E)$ is given by the formula:$P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$$P(E) = \frac{65}{200} = \frac{32.5}{100} = 0.325$.

Class 9 Mathematics Probability Mix Examples - Probability

Medium

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

Age (in years) $20-29$ $30-39$ $40-49$ $50-59$ $60$ and above

Number of workers $38$ $27$ $86$ $46$ $3$

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

A
$0.925$
B
$0.125$
C
$0.525$
D
$0.325$

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Class 9 Questions

Class 9

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Probability

Subtopic

Mix Examples - Probability

$1000$ families with $2$ children were selected randomly,and the following data were recorded:

Number of girls in a family $0$ $1$ $2$

Number of families $128$ $672$ $200$

Compute the probability of a family,chosen at random,having $(1)$ two girls,$(2)$ one girl.

Medium

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$A$ company selected $4000$ households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table:

Monthly income (in Rs) $0$ Televisions $1$ Television $2$ Televisions Above $2$ Televisions

$< 10000$ $20$ $80$ $10$ $0$

$10000-14999$ $10$ $240$ $60$ $0$

$15000-19999$ $0$ $380$ $120$ $30$

$20000-24999$ $0$ $520$ $370$ $80$

$25000$ and above $0$ $1100$ $760$ $220$

Find the probability of a household earning $Rs. 25000$ and more per month and owning $2$ televisions.

Medium

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Here is an extract from a mortality table.

Age (in years) Number of persons surviving out of a sample of one million

$60$ $16090$

$61$ $11490$

$62$ $8012$

$63$ $5448$

$64$ $3607$

$65$ $2320$

What is the probability that a person aged $61$ will live for $4$ years?

Medium

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In a medical examination of students of a class,the following blood groups are recorded:
Blood group $A, AB, B, O$
Number of students $10, 13, 12, 5$

$A$ student is selected at random from the class. The probability that he/she has blood group $B$,is:

Easy

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

Age (in years) $20-29$ $30-39$ $40-49$ $50-59$ $60$ and above

Number of workers $38$ $27$ $86$ $46$ $3$

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

Medium

View Solution

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

Number of girls in a family	$0$	$1$	$2$
Number of families	$128$	$672$	$200$

Monthly income (in Rs)	$0$ Televisions	$1$ Television	$2$ Televisions	Above $2$ Televisions
$< 10000$	$20$	$80$	$10$	$0$
$10000-14999$	$10$	$240$	$60$	$0$
$15000-19999$	$0$	$380$	$120$	$30$
$20000-24999$	$0$	$520$	$370$	$80$
$25000$ and above	$0$	$1100$	$760$	$220$

Age (in years)	Number of persons surviving out of a sample of one million
$60$	$16090$
$61$	$11490$
$62$	$8012$
$63$	$5448$
$64$	$3607$
$65$	$2320$

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

Similar Questions

$1000$ families with $2$ children were selected randomly,and the following data were recorded: Number of girls in a family $0$ $1$ $2$ Number of families $128$ $672$ $200$ Compute the probability of a family,chosen at random,having $(1)$ two girls,$(2)$ one girl.

Here is an extract from a mortality table. Age (in years) Number of persons surviving out of a sample of one million $60$ $16090$ $61$ $11490$ $62$ $8012$ $63$ $5448$ $64$ $3607$ $65$ $2320$ What is the probability that a person aged $61$ will live for $4$ years?

In a medical examination of students of a class,the following blood groups are recorded:Blood group$A, AB, B, O$Number of students$10, 13, 12, 5$$A$ student is selected at random from the class. The probability that he/she has blood group $B$,is:

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

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

Age (in years) $20-29$ $30-39$ $40-49$ $50-59$ $60$ and above

Number of workers $38$ $27$ $86$ $46$ $3$

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

$1000$ families with $2$ children were selected randomly,and the following data were recorded:

Number of girls in a family $0$ $1$ $2$

Number of families $128$ $672$ $200$

Compute the probability of a family,chosen at random,having $(1)$ two girls,$(2)$ one girl.

Here is an extract from a mortality table.

Age (in years) Number of persons surviving out of a sample of one million

$60$ $16090$

$61$ $11490$

$62$ $8012$

$63$ $5448$

$64$ $3607$

$65$ $2320$

What is the probability that a person aged $61$ will live for $4$ years?

In a medical examination of students of a class,the following blood groups are recorded:
Blood group $A, AB, B, O$
Number of students $10, 13, 12, 5$

$A$ student is selected at random from the class. The probability that he/she has blood group $B$,is:

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

Age (in years) $20-29$ $30-39$ $40-49$ $50-59$ $60$ and above

Number of workers $38$ $27$ $86$ $46$ $3$

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