Two cards are d

Q. Two cards are drawn without replacement from a well Shuffled pack of 52 cards. Find the probability that both are black.

 

 

Dear Student,


$$\begin{gathered} Solution : In a pack of 52 cards 26 cards are black and 26 are red. \\ So, no. of ways of chosing 2 black cards amongst 26 black card={}^{26}C_2=325.........\overline{)1} \\ and no. of ways of chosing two cards amongst total 52 cards={}^{52}C_2=1326...........\overline{)2} \\ So, Probability chosing 2 black cards from the pack=\frac{no. of ways of chosing 2 black cards amongst 26 black card}{no. of ways of chosing two cards amongst total 52 cards} \\ \Rightarrow Probability chosing 2 black cards from the pack=\frac{325}{1326} (from \overline{)1} and \overline{)2}) \end{gathered}$$

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