(B) 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 $60$ but o

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(B) 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 $60$ but over $39$ years of age.From the table,the age groups satisfying this condition are $40-49$ and $50-59$.The number of workers in these age groups $= 86 + 46 = 132$.The probability $P(E)$ is given by the ratio of the number of favorable outcomes to the total number of outcomes:$P(E) = \frac{\text{Number of workers aged between } 40 \text{ and } 59}{\text{Total number of workers}}$$P(E) = \frac{132}{200} = 0.66$.

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 $60$ but over $39$ years.

A
$0.16$
B
$0.66$
C
$0.76$
D
$0.96$

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Class 9 Questions

Class 9

Mathematics Questions

Chapter

Probability

Subtopic

Mix Examples - Probability

Out of $30$ days, the forecast predicted by the weather department proved to be true on $20$ days. If one day is chosen at random from these $30$ days, what is the probability that the forecast proved to be false?

Easy

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$50$ 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 $10$ $32$ $8$

If a family is chosen at random,compute the probability that it has: $(1)$ two girls,$(2)$ one girl,$(3)$ no girl.

Medium

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Find the probability of getting $51$ marks out of $50$ marks.

Easy

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$A$ die is thrown $400$ times with the frequencies for the outcomes $1, 2, 3, 4, 5$ and $6$ as given in the following table:

Outcome $1$ $2$ $3$ $4$ $5$ $6$

Frequency $68$ $70$ $74$ $54$ $70$ $64$

Find the probability of getting each outcome.

Medium

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Two dice are thrown simultaneously $500$ times. Each time the sum of 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

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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	$10$	$32$	$8$

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

$A$ 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 $60$ but over $39$ years.

Similar Questions

Out of $30$ days, the forecast predicted by the weather department proved to be true on $20$ days. If one day is chosen at random from these $30$ days, what is the probability that the forecast proved to be false?

$50$ 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 $10$ $32$ $8$ If a family is chosen at random,compute the probability that it has: $(1)$ two girls,$(2)$ one girl,$(3)$ no girl.

Find the probability of getting $51$ marks out of $50$ marks.

$A$ die is thrown $400$ times with the frequencies for the outcomes $1, 2, 3, 4, 5$ and $6$ as given in the following table: Outcome $1$ $2$ $3$ $4$ $5$ $6$ Frequency $68$ $70$ $74$ $54$ $70$ $64$ Find the probability of getting each outcome.

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$50$ 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 $10$ $32$ $8$

If a family is chosen at random,compute the probability that it has: $(1)$ two girls,$(2)$ one girl,$(3)$ no girl.

$A$ die is thrown $400$ times with the frequencies for the outcomes $1, 2, 3, 4, 5$ and $6$ as given in the following table:

Outcome $1$ $2$ $3$ $4$ $5$ $6$

Frequency $68$ $70$ $74$ $54$ $70$ $64$

Find the probability of getting each outcome.