Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all four cards of the same suit is

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Aicharya · Accepted Answer

$\mathrm{P}$ [All your cands are of the same suit] $\begin{aligned} & =\frac{13_{\mathrm{C}_4}+13_{\mathrm{C}_4}+13_{\mathrm{C}_4}+13_{\mathrm{C}_4}}{52_{\mathrm{C}_4}} \ & =\frac{4.13_{\mathrm{C}_4}}{52_{\mathrm{C}_4}}=\frac{\frac{4.13 .12 .11 .10}{4.8 .2 .1}}{\frac{4.52 .51 .50 .49}{4.3 .2 .1}} \ & =\frac{12 	imes 11}{51 	imes 5 	imes 49}=\frac{44}{85 	imes 49}=\frac{44}{4165}\end{aligned}$

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all four cards of…

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