Problem 7. (4 points) A typical deck of cards has 4 suits (, (, &, ^) and the following 13 denominations: Ace. 2 thru 10, Jack, Queen, and King). A single card has two characteristics: a suit and denomination. For example, [King of ] or [4 of &] etc. Imagine a typical deck of cards with an additional 2 suit(s). Each new suit still has the normal 13 denominations as the original suits. Your new expanded deck then has 78 total cards and a total of 6 suits. If 5 cards are randomly selected without replacement from your deck of 78 card deck. Find the probabilities of the following: Part (a) Three of a kind, meaning three cards with the same denomination and two singular cards who's denomination don't match any older cards in the hand. Answer: (If rounding, use at least five decimals in your answer) Part (b) A flush, meaning all 5 cards are from the same suit. Answer: (If rounding, use at least five decimals in your answer) Part (c) 3 Kings and 2 Jacks Answer: (If rounding, use at least five decimals in your answer) Part (d) 3 Kings and 2 (s Answer. (if rounding, use at least five decimals in your answer)