# Answer in Statistics and Probability for Tawki #239424

“\def\arraystretch{1.5}n \begin{array}{c:c}n \text{Possible } & \text{Values of the } \\n \text{Outcomes} & \text{Random Variable} \ L\\n\hlinenLL & 2 \\nLY & 1 \\nYL & 1\\nYY & 0nn\end{array}”“P(L=0)=\dfrac{\dbinom{3}{0}\dbinom{10-3}{2-0}}{\dbinom{10}{2}}=\dfrac{21}{45}=\dfrac{7}{15}”“P(L=1)=\dfrac{\dbinom{3}{1}\dbinom{10-3}{2-1}}{\dbinom{10}{2}}=\dfrac{21}{45}=\dfrac{7}{15}”“P(L=2)=\dfrac{\dbinom{3}{2}\dbinom{10-3}{2-2}}{\dbinom{10}{2}}=\dfrac{3}{45}=\dfrac{1}{15}”“\def\arraystretch{1.5}n \begin{array}{c:c}n l & 0 & 1 & 2 \\ n \hdashline \\nn P(L=l) & \dfrac{7}{15} & \dfrac{7}{15} & \dfrac{1}{15}n\end{array}”

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