A simple question but the solution is confusing me. The answer I obtained was
$$p = 3! \times 4/52 \times 4/51 \times 4/50$$
The first 3! is for the order of king, queen, jack. $4/52$ is the probability of drawing a king, $4/51$ is the probability of drawing a queen after a king is drawn and $4/50$ is the probability of drawing a jack once both king and queen are drawn. But the book takes the solution as
$$p = 3! \times 4/52 \times 3/51 \times 2/50$$
Can anyone please explain how this comes?
Thanks in advance.
Best Answer
The probability of drawing a king, queen, and jack is;
$$\frac{3! 4^3}{52\,51\,50}$$
The probability of drawing a king, queen, and jack of different suits is:
$$\frac{3!~4!}{52\,51\,50}$$