N a second grade class containing 12 girls and 11 boys, 2 students are selected at random to give out the math papers. what is the probability that both are girls?

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04-07-2018
Mathematics

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N a second grade class containing 12 girls and 11 boys, 2 students are selected at random to give out the math papers. what is the probability that both are girls?

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konrad509 konrad509 · Answer 1 · 2018-07-04T08:50:29+02:00

konrad509 konrad509

04-07-2018

[tex]\displaystyle |\Omega|=\binom{23}{2}=\dfrac{23!}{2!21!}=\dfrac{22\cdot23}{2}=253\\ |A|=\binom{12}{2}=\dfrac{12!}{2!10!}=\dfrac{11\cdot12}{2}=66\\\\ P(A)=\dfrac{66}{253}=\dfrac{6}{23}[/tex]

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