Question

Find the probability of drawing a spade card in each of the two consecutive draws from a well-shuffled pack of cards, if the card drawn is not replaced after the first draw.

Answer 1

$\begin{array}{c}Totalcards=52\\ totalspades=13\\ firstdraw=\frac{13C_1}{52C_1}=\frac{13}{52}=\frac{1}{4}\\ \sec onddraw=\frac{12C_1}{51C_1}=\frac{12}{51}\\ \therefore probability=\frac{1}{4}\times \frac{12}{51}=\frac{1}{17}\end{array}$