Problem 7. 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 suit and denomination, for example. Imagine a typical deck of cards with an additional 1 suit(s). Each new suit still has the normal 13 denominations as the original suits. Your new expanded deck then has 65 total cards and a total of 5 suits.

If 5 cards are randomly selected without replacement from your deck of 65 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 other cards in the hand. ____

Part (b)A flush, meaning all 5 cards are from the same suit. ____

Part (c)3 Kings and 2 Jacks ____

Part (d)3 Kings and 2s _____