Given the poker hand; 5♣, 7♣, 8♦, 9♦ and A♦, attempt to calculate the following using classical probability:
1. The probability of drawing a 6 (to complete an inside straight) after discarding the ace. (Remember that the cards in your hand or discarded would not be available to draw but all others would)
2. The probability of drawing two diamonds (to complete a flush) after discarding the 5 and 7.
3. The probability of drawing one or more aces after discarding the 5, 7, 8, and 9.
BONUS: The probability of drawing anything which would result in a hand of two pair or better, after discarding the Ace and 5.