Answer to Question #263970 in Statistics and Probability for Aqsa

Question

What is the probability of drawing 3 cards without replacement from a deck of cards and getting three kings

Answer 1

Let us use the standard desk of 52 card.

$P = \frac{4}{52} \times \frac{3}{51} \times \frac{2}{50} = \frac{24}{132600} = 1.809 \times 10^{-4}$

$\frac{4}{52}$ the probability of drawing one from 4 kings

$\frac{3}{51}$ the probability of drawing one from 3 kings and remaining 51 cards

$\frac{2}{50}$ the probability of drawing one from 2 kings and remaining 50 cards