Greetings Answerscorrectly,
I assume you have at least been learning something from your course/Alcumus, so I'll keep the hints short.
To start, we want to create a fraction something like this:
\(\frac{\textbf{Number of Targeted Results}}{\textbf{Number of All Results}}\)
To find the numerator, we want to find the probability for getting the desired card for each of the 5 moves.
If you don't know how to do that, here are instructions for each card draft.
1. Pick a random card regardless of colour and number
2. Pick a randomly coloured card that has the same number as 1.
3. Pick a randomly coloured card that is not the same number as 1. or 2.
4. Pick a randomly coloured card that is not the same number as 1., 2., or 3.
5. Pick a randomly coloured card that is not the same number as 1., 2., 3., or 4.
As for the denominator, I think you can figure that out yourself. 
Don't forget that cards are NOT put back into the pool after taken out!
If you need any more help or have found something wrong with my answer (hint?), say the word.
I hope this helps you answer correctly, Answerscorrectly! (heh, I've been waiting to say that for a while..)
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