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Question Number 11266 by ketto last updated on 18/Mar/17

Commented by tawa last updated on 19/Mar/17

$$\mathrm{probability}\mathrm{that}\mathrm{juma}\mathrm{pass}=50\mathrm{\%}=\frac{1}{2}$$$$\mathrm{probability}\mathrm{that}\mathrm{juma}\mathrm{fail}=1-\frac{1}{2}=\frac{1}{2}$$$$$$$$\mathrm{probability}\mathrm{that}\mathrm{gidi}\mathrm{fail}=\frac{1}{4}$$$$\mathrm{probability}\mathrm{that}\mathrm{gidi}\mathrm{pass}=1-\frac{1}{4}=\frac{3}{4}$$$$\left(\mathrm{i}\right)$$$$\mathrm{probabilty}\mathrm{that}\mathrm{gidi}\mathrm{will}\mathrm{pass}\mathrm{means}\mathrm{that},\mathrm{gidi}\mathrm{pass}\mathrm{and}\mathrm{juma}\mathrm{fails}$$$$=\frac{3}{4}\times \frac{1}{2}$$$$=\frac{3}{8}$$$$\left(\mathrm{ii}\right)$$$$\mathrm{Either}\mathrm{juma}\mathrm{will}\mathrm{pass}\mathrm{the}\mathrm{examination}\mathrm{or}\mathrm{gidi}\mathrm{will}\mathrm{fail}\mathrm{the}\mathrm{examination}$$$$=\frac{1}{2}+\frac{1}{4}$$$$=\frac{2+1}{4}$$$$=\frac{3}{4}$$

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