25. Compute the probability that a five-card poker hand is dealt to you that contains 4 Aces.

The standard deck of cards has 52 different cards.
4 of these cards are aces.
For the first card, the probability of having an ace is 4/52, since there are 4 aces still available.
Then, for the second card, the probability will be 3/52, because one of the aces is already picked.
Similarly, the third ace has a probability of 2/52 and the last ace has a probability of 1/52.
The final probability will be:
[tex]P=\frac{4\cdot3\cdot2\cdot1}{52\cdot52\cdot52\cdot52}=\frac{3}{52\cdot52\cdot26\cdot13}=\frac{3}{913952}[/tex]