Probabilities of a Poker Hand

Hi,

Here is my question

I randomly draw 5 cards from a pack. (Ace is the highest card) What would be the probability of drawing a king, Queen, Jack etc as your highest card?

I think below I have worked out the probability of an ace being your highest card:

The probability of drawing an ace = 1- the probability of drawing 0

aces

The probability of drawing 0 aces is: C(48.5)/C(52,5)

=1712304/2598960

=0.65

David

So The probability I think of drawing an ace = 1-0.65 = 0.35

Any help with this question would be much appreciated,

Thank you

An additional 2 questions

Great Help, Thank you so much!!

I have just 2 more questions which follow on from this that I would be grateful you could answer:

1) What is the highest card likely to be?

2) Someone offers you a "all or nothing bet", that in a randomly selected set of five cards, the highest card will be either King or Ace. Would you place the bet?

(An "all or nothing bet" just means that if you bet $1, you will get $2 back if you are right and nothing if you are wrong)