Class 9 Math All topics Probability

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

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 $1$.

No. of girls in a family | $2$ | $1$ | $0$ |

No. of families | $475$ | $814$ | $211$ |

(i) $2$ girls

(ii) $1$ girl

(iii) No girl

Also check whether the sum of these probabilities is $1$.

Solution: (i) Number of families having $2$ girls $=475$

Total families $=475+814+211=1500$

Total families $=475+814+211=1500$

$P(2$ girls$)=Total families475 $

$=1500475 =6019 $

(ii) $P(1$ girl$)=1500814 =750407 $

(iii) $P($No girl$)=1500211 $

Sum of all these probabilities

$=6019 +750407 +1500211 $

$=1500475+814+211 $

$=15001500 =1$

Sum of these probabilities $=1$

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