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Preeti Dabral 3 years ago (2983787)
Step 1 of 2
Two cards are drawn simultaneously,
Let, denotes the number of aces in 2 draws from a pack of 52 cards
∴ X can takes values 0, 1, 2
Step 2
{tex}\begin{aligned} & P(X=0)=\frac{{ }^{48} C_2}{{ }^{52} C_2}=\frac{48 \times 47}{52 \times 51}=\frac{12 \times 47}{13 \times 51}=\frac{188}{221} \\ & \therefore P(X=0)=\frac{188}{221} \\ & P(X=1)=\frac{{ }^4 C_1 \times{ }^{48} C_1}{{ }^{52} C_2}=\frac{4 \times 48 \times 2}{52 \times 51}=\frac{32}{221} \\ & \therefore P(X=1)=\frac{32}{221} \\ & P(X=2)=\frac{{ }^4 C_2}{{ }^{52} C_2}=\frac{4 \times 3}{52 \times 51}=\frac{1}{221} \\ & \therefore P(X=2)=\frac{1}{221} \\ & \end{aligned}{/tex}
Thus the probability distribution of random variable is
{tex}\begin{array}{|l|l|l|l|}
\hline X & 0 & 1 & 2 \\
\hline P(X) & \frac{188}{221}= & \frac{32}{221}= & \frac{1}{221}= \\
\hline
\end{array}{/tex}
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A computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations automatically. Modern computers can perform generic sets of operations known as programs. These programs enable computers to perform a wide range of tasks.
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Sanket ... 4 years, 4 months ago (5722231)
5 Thank You