Two cards are drawn at random from a well shuffled deck of 52 cards , successively without replacement . Second card is found to be a spade , what is the probability that first card was also a spade ?

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Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{There} \mathrm{are} 13 \mathrm{spades} \mathrm{in} \mathrm{a} \mathrm{pack} \mathrm{of} \mathrm{cards}. \\ \mathrm{Now} \mathrm{two} \mathrm{cards} \mathrm{are} \mathrm{drawn} \mathrm{and} \mathrm{one} \mathrm{is} \mathrm{known} \mathrm{to} \mathrm{be} \mathrm{spade}, \mathrm{hence} \\ \mathrm{Probability} \mathrm{that} \mathrm{other} \mathrm{is} \mathrm{also} \mathrm{spade}=\frac{12}{51} \end{gathered}$$

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