Question

what is the probability of drawing 5 queens from a standard deck of cards?

Answer 1

A standard deck of cards has 4 queens, one from each of the four suits (Spade, Heart, Diamond and Club).
Therefore the event Q of drawing 5 queens does not exist in the sample space Ω.
Therefore probability P(Q) of drawing 5 queens is zero.

Answer 2

Note: the above answer assumes no replacement of cards.

If the question assumes with replacement, then drawing a queen from a full deck has a probability of 13/52=1/13.

In a 4 step random experiment, the probability of getting a queen at each of the four steps is given by (1/13)^4.

Answer 3

Correction:
4/52=1/13