Question

What is the probability of drawing a king, queen an jack (not in order), with replacement, from a pack of cards

Answer 1

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Answer 2

When drawing any three cards from a standard deck, you have \(\dbinom{52}{3}\) total possible outcomes.

In the deck you have 4 of each kings, queens, and jacks. The probability of drawing one king/queen/jack is \(\dfrac{\dbinom41}{\dbinom{52}1}\).

The probability of drawing one each of a king, queen, and jack, is therefore
\[\frac{\dbinom41\dbinom41\dbinom41}{\dbinom{52}3}\]