Question

Three cards are drawn with replacement from a well shuffled pack of cards. Find the probability that the cards drawn are king, queen and jack.

Answer 1

\[P\left( \text{ king }  \right) = \frac{4}{52}\]
\[P\left( \text{ queen }  \right) = \frac{4}{52}\]
\[P\left( \text{ jack } \right) = \frac{4}{52}\]
\[\text{ These cards can be drawn in }{}^3 P_3 \text{ ways } . \]
\[P\left( \text{ king, queen and jack }  \right) = \frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \times^3 P_3 \]
\[ = \frac{3!}{2197}\]
\[ = \frac{6}{2197}\]