(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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Probability

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Mix Examples - Probability

$A$ 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 obtained is listed in the following table:

Monthly income (in Rs) Number of Televisions per household

$0, 1, 2, \text{Above } 2$

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

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

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

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

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

Find the probability of a household not having any television.

Easy

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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 less than $4$ defective bulbs?

Medium

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$A$ card is drawn at random from a well-shuffled pack of $52$ cards. Find the probability of that card being a queen.

Easy

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$A$ box contains $100$ cards marked with numbers $1$ to $100$. If one card is drawn at random from the box,find the probability that the number on the card is: $(1)$ a multiple of $7$,$(2)$ a number smaller than $30$,$(3)$ a prime number.

Difficult

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When a balanced die is thrown,the probability of getting $3$ is .........

Easy

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

Monthly income (in Rs)	Number of Televisions per household
	$0, 1, 2, \text{Above } 2$
$< 10000$	$20, 80, 10, 0$
$10000-14999$	$10, 240, 60, 0$
$15000-19999$	$0, 380, 120, 30$
$20000-24999$	$0, 520, 370, 80$
$25000$ and above	$0, 1100, 760, 220$

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

$A$ 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

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. Find the probability of that card being a queen.

$A$ box contains $100$ cards marked with numbers $1$ to $100$. If one card is drawn at random from the box,find the probability that the number on the card is: $(1)$ a multiple of $7$,$(2)$ a number smaller than $30$,$(3)$ a prime number.

When a balanced die is thrown,the probability of getting $3$ is .........

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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.