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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

In a two children family, find the probability that there is at least one girl in a family - Mathematics

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Question

In a two children family, find the probability that there is at least one girl in a family

Sum
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Solution

Sample space (S) = {(Boy, Boy) (Boy, Girl) (Girl, Boy) (Girl, Girl)}

n(S) = 4

Let A be the event of getting atleast one Girl

A = {(Boy, Girl) (Girl, Boy) (Girl, Girl)}

n(A) = 3

P(A) = `("n"("A"))/("n"("S")) = 3/4`

 Probability of at least one girl in a family is `3/4`

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Addition Theorem of Probability
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Chapter 8: Statistics and Probability - Unit Exercise – 8 [Page 333]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 8 Statistics and Probability
Unit Exercise – 8 | Q 9 | Page 333

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