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Question Number 106405 by john santu last updated on 05/Aug/20

$$\mathrm{A}\mathrm{bag}\mathrm{contains}6\mathrm{white},4\mathrm{red}\mathrm{\&}10$$ $$\mathrm{black}\mathrm{balls}.\mathrm{If}\mathrm{two}\mathrm{balls}\mathrm{are}\mathrm{drawn}$$ $$\mathrm{at}\mathrm{random},\mathrm{what}\mathrm{is}\mathrm{the}$$ $$\mathrm{probability}\mathrm{of}\mathrm{both}\mathrm{being}\mathrm{black}?$$

Answered by bemath last updated on 05/Aug/20

$$\mathrm{p}\left(\mathrm{A}\right)=\frac{\mathrm{C}{}_2^{10}}{\mathrm{C}{}_2^{20}}=\frac{45}{190}=\frac{9}{38}$$

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