1500 families with 2 children were selected randomly and the following data were recorded:
number of girls in a family: 0 1 2
frequency: 211 814 475
Compute the probability of a family, chosen at random, having:

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Solution

No. of families having $2$ girls
$n (2) = 475$
No. of families having $1$ girl $n (1) = 814$
No. of families having no girl $n (0) = 211$
Total no. of families $= 1500$
P( $2$ girls) $= \frac{n (2)}{t o t a l n o . o f f a m i l i e s}$
$= \frac{475}{1500}$
P( $1$ girl) $= \frac{n (1)}{t o t a l n o . o f f a m i l i e s}$
$= \frac{814}{1500}$
P( $0$ girls) $= \frac{211}{1500}$

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1500

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No. of girls in a family	$2$	$1$	$0$
No. of families	$475$	$814$	$211$

Compute the probability of a family, chosen at random, having
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Also check whether the sum of these probabilities is

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Question 2 (iii)
1500 families with 2 children were selected randomly, and the following data were recorded:
$\begin{matrix} Number of girls in a family & 2 & 1 & 0 Number of families & 475 & 814 & 211 \end{matrix}$
Compute the probability of a family, chosen at random, having no girl

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$\begin{matrix} Number of girls in a family & 2 & 1 & 0 Number of families & 300 & 500 & 700 \end{matrix}$

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1500 families with 2 children were selected randomly, and the following data were recorded:

Number of girls in a family	2	1	0
Number of families	475	814	211

Compute the probability of a family, chosen at random, having

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Also check whether the sum of these probabilities is 1.

Q. Question 2 (i)
1500 families with 2 children were selected randomly, and the following data was recorded:

\begin{matrix} N u m b e r o f g i r l s i n a f a m i l y & 2 & 1 & 0 N u m b e r o f f a m i l i e s & 475 & 814 & 211 \end{matrix}

Compute the probability of a family,chosen at random ,having 2 girls.

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1500 families with 2 children were selected randomly and the following data were recorded:number of girls in a family: 0 1 2 frequency: 211 814 475Compute the probability of a family, chosen at random, having:

No. of families having 2 girlsn(2)=475No. of families having 1 girl n(1)=814No. of families having no girl n(0)=211Total no. of families=1500P(2 girls)=n(2)totalno.offamilies=4751500P(1 girl)=n(1)totalno.offamilies=8141500P(0 girls)=2111500

1500 families with 2 children were selected randomly and the following data were recorded:
number of girls in a family: 0 1 2
frequency: 211 814 475
Compute the probability of a family, chosen at random, having: