Question

A king, queen and jack of spades are removed from a deck of 52 playing cards and then well shuffled one card is selected from the remaining cards find the probability to getting (1) a spade (2) a king

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \mathrm{Here}3\mathrm{cards}\mathrm{of}\mathrm{spades}\left(\mathrm{king},\mathrm{queen},\mathrm{jack}\right)\mathrm{are}\mathrm{removed}\mathrm{so}\mathrm{remaining}\mathrm{cards}=52-3=49 \\ \mathrm{Now}\mathrm{remaining}\mathrm{spade}=13-3=10 \\ \mathrm{so}\mathrm{probability}\mathrm{of}\mathrm{getting}\mathrm{a}\mathrm{card}\mathrm{of}\mathrm{spade}=\frac{10}{49} \\ \mathrm{and}\mathrm{there}\mathrm{are}\mathrm{three}\mathrm{king}\mathrm{remaining}\mathrm{so}\mathrm{probability}\mathrm{of}\mathrm{getting}\mathrm{a}\mathrm{king} \\ =\frac{3}{49} \end{gathered}$$