If five cards are dealt from a shuffled deck of playing cards:

1. What is the probability of getting a five-card hand that is all red?

   Hint (a):

   There are $26$ red cards, choose $5$. The total possible hands come from $52$ cards, choose $5$.

   Answer (a):

   $0.0253$

2. Express your solution to part (a) in the form:  $\frac{_aC_b}{_dC_e}$.

   Hint (b):

   See the hint in part (a).

3. What is the probability of getting a five-card hand that is all clubs?

   Answer (c):

   $0.000495$

4. Express your solution to part (c) in the form $\frac{_aC_b}{_dC_e}$.

   Hint (d):

   There are $13$ clubs, choose $5$.

5. What is the probability of getting 5 cards from any one suit?

   Hint (e):

   You will need to add the probabilities of all hearts, all diamonds, all clubs, and all spades.