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Question Number 43374 by peter frank last updated on 10/Sep/18

$$\mathrm{A}\mathrm{drawer}\mathrm{contains}5\mathrm{brown}\mathrm{socks}\mathrm{and}4$$$$\mathrm{blue}\mathrm{socks}\mathrm{well}\mathrm{mixed}.\mathrm{A}\mathrm{man}\mathrm{reaches}$$$$\mathrm{the}\mathrm{drawer}\mathrm{and}\mathrm{pulls}\mathrm{out}2\mathrm{socks}\mathrm{at}$$$$\mathrm{random}.\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{probability}\mathrm{that}$$$$\mathrm{they}\mathrm{match}?$$

Answered by tanmay.chaudhury50@gmail.com last updated on 10/Sep/18

$$p\left(brown\right)=\frac{5c_2}{9c_2}$$$$p\left(blue\right)\frac{4c_2}{9c_2}$$$$rewuitedsnswer=\frac{5c_2}{9c}+\frac{4c_2}{9c_2}=\frac{\frac{5\times 4}{2}+\frac{4\times 3}{2}}{\frac{9\times 8}{2}}$$$$=\frac{16}{36}=\frac{4}{9}$$$$plsche4k..$$$$$$

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