SATHEE: Probability 3 Question 1

Probability 3 Question 1

1. Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls; is

(2019 Main, 10 April I)

(a) $\frac{1}{17}$

(b) $\frac{1}{12}$

(d) $\frac{1}{11}$

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Answer:

Correct Answer: 1. (d)

Solution:

Let event $B$ is being boy while event $G$ being girl.

According to the question, $P (B) = P (G) = \frac{1}{2}$

Now, required conditional probability that all children are girls given that at least two are girls, is

All 4 girls

(All 4 girls $) +$ (exactly 3 girls +1 boy)

(exactly 2 girls +2 boys)

$= \frac{\frac{1}{2}^{4}}{{\frac{1}{2}}^{4} +^{4} C_{3} \frac{1^{3}}{}^{3} \frac{1}{2} +^{4} C_{2} {\frac{1}{2}}^{2} {\frac{1}{2}}^{2}} = \frac{1}{1 + 4 + 6} = \frac{1}{11}$

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अगला

Probability 3 Question 1

1. Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls; is

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Probability 3 Question 1

1. Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls; is

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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