Answer the following three questions:

Question #1 

The probability of getting a straight in five card draw is 0.003925. The odds in favor of getting a flush are 1:508.

1. What are the odds of getting a straight?
2. What is the probability of getting a flush?

Question #2 

Five women are playing poker. After being dealt five cards each, the women are holding a total of eight diamonds and six spades.

1. What is the probability that the next card dealt will be a diamond?
2. What is the probability that the next two cards dealt will be spades?

Question #3 

In The Matrix, the character Neo was offered the opportunity to take a red pill or a blue pill, representing the choice between embracing the sometimes painful truth of reality (the real world) and the blissful ignorance of illusion (the Matrix), respectively. Assuming that Neo could also choose a green pill and that he randomly chose only one pill, find the probability that he:

1. Took the red pill.
2. Took a blue or green pill.
3. Did not take the red or blue pill.
4. Took a red, blue, or green pill.