\[\boxed{\mathbf{1158}\mathbf{.}}\]
\[Число\ испытаний\ (N)\] | \[10\] | \[50\] | \[100\] | \[300\] | \[500\] | \[1000\] |
---|---|---|---|---|---|---|
\[Частота\ падения\ призмы\] \[на\ любую\ боковую\ грань\] \[(M)\] |
\[8\] | \[34\] | \[73\] | \[206\] | \[353\] | \[698\] |
\[Относительная\ частота\] \[падения\ призмы\ на\] \[боковую\ грань\ (W)\] |
\[0,80\] | \[0,68\] | \[0,73\] | \[0,69\] | \[0,71\] | \[0,70\] |
\[W_{1} = \frac{M}{N} = \frac{8}{10} = 0,80;\]
\[W_{2} = \frac{M}{N} = \frac{34}{50} = \frac{68}{100} = 0,68;\]
\[W_{3} = \frac{M}{N} = \frac{73}{100} = 0,73;\]
\[W_{4} = \frac{M}{N} = \frac{206}{300} = 0,68(6) \approx\]
\[\approx 0,69;\]
\[W_{5} = \frac{M}{N} = \frac{353}{500} = 0,706 \approx 0,71;\]
\[W_{6} = \frac{M}{N} = \frac{698}{1000} = 0,698 \approx 0,70.\]
\[Предположение:\ \]
\[падение\ призмы\ на\ боковую\ \]
\[грань,\ стремится\ к\ числу\ 0,7.\]
\[Ответ:\ \ P(A) = 0,7.\]