Question 2 i 1500 families with 2 children were selected randomly- and the following data was recorded-begin array -c- c-c- c - WheNumber of girls in a family-2-1-0Nhline Number of families-475-814-211111hline lendarrayCompute the probability of a family-chosen at random -having 2 girls-

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Standard VII

Mathematics

Experimental Approach to Probability

Question 2 i ...

Question

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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Solution

Total number of families = 475 +814 + 211= 1500
(i) Number of families having 2 girls = 475
$P_{1} (a r a n d o m l y c h o s e n f a m i l y h a s 2 g i r l s) = \frac{N u m b e r f a m i l i e s h a v i n g 2 g i r l s}{T o t a l n u m b e r o f f a m i l i e s}$
$P_{1} (a r a n d o m l y c h o s e n f a m i l y h a s 2 g i r l s) = \frac{475}{1500} = \frac{19}{60}$

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Question 2 (ii)
1500 families with 2 children were selected randomly, and the following data was 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 1 girl.

Q. Question 2 (iii)
1500 families with 2 children were selected randomly, and the following data were 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 no girl

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

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

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

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

(i) 2 girls (ii) 1 girl (iii) No girl

Also check whether the sum of these probabilities is 1.

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

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

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

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Question 2 (i) 1500 families with 2 children were selected randomly, and the following data was recorded: Number of girls in a family210Number of families475814211 Compute the probability of a family,chosen at random ,having 2 girls.

Total number of families = 475 +814 + 211= 1500 (i) Number of families having 2 girls = 475 P1(a randomly chosen family has 2 girls)=Number families having 2 girlsTotal number of families P1(a randomly chosen family has 2 girls)=4751500=1960