Question

the probability that krishna will be alive 10 years is 7/15 and the probability that hari will alive after ten years if 7/10,find the probability that krishna and hari both will be alive for 10 years?

Answer 1

$$\begin{gathered} \mathrm{Given},\mathrm{the}\mathrm{probability}\mathrm{that}\mathrm{Krishna}\mathrm{will}\mathrm{be}\mathrm{alive}\mathrm{after}10\mathrm{years}=\frac{7}{15} \\ \mathrm{And},\mathrm{the}\mathrm{probability}\mathrm{that}\mathrm{Hari}\mathrm{will}\mathrm{be}\mathrm{alive}\mathrm{after}10\mathrm{years}=\frac{7}{10} \\ \mathrm{So}, \\ \mathrm{The}\mathrm{probability}\mathrm{that}\mathrm{Krishna}\mathrm{and}\mathrm{Hari}\mathrm{both}\mathrm{will}\mathrm{be}\mathrm{alive}\mathrm{after}10\mathrm{years}=\frac{7}{15}\times \frac{7}{10}=\frac{\mathbf{49}}{\mathbf{150}} \end{gathered}$$