\[\boxed{\mathbf{251.}}\]
\[\textbf{а)}\]
\[Число\ орлов\] | \[0\] | \[1\] |
---|---|---|
\[Вероятность\] | \[0,5\] | \[0,5\] |
\[\textbf{б)}\]
\[Число\ орлов\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|
\[Вероятность\] | \[0,25\] | \[0,5\] | \[0,25\] |
\[\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4} = 0,25;\]
\[\frac{1}{2} \cdot \frac{1}{2} + \frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4} + \frac{1}{4} = \frac{2}{4} = 0,5.\]
\[\textbf{в)}\ \]
\[Число\ орлов\] | \[0\] | \[1\] | \[2\] | \[3\] |
---|---|---|---|---|
\[Вероятность\] | \[0,125\] | \[0,375\] | \[0,375\] | \[0,125\] |
\[\left( \frac{1}{2} \right)^{3} = \frac{1}{8} = 0,125;\]
\[\frac{1}{8} + \frac{1}{8} + \frac{1}{8} = \frac{3}{8} = 0,375.\]