20. Poker hands are classified into the following 10 nonoverlapping categories in increasing order of likelihood. Calculate the probability of the occurrence of each class separately. Recall that a poker hand consists of five cards selected randomly from an ordinary deck of 52 cards. Royal flush: The 10, jack, queen, king, and ace of the same suit. Straight flush: All cards in the same suit, with consecutive denominations except for the royal flush. Four of a kind: Four cards of one denomination and one card of a second denomination: for example, four 8’s and a jack. Full house: Three cards of one denomination and two cards of a second denomination: for example, three 4’s and two queens. Flush: Five cards all in one suit but not a straight or royal flush. Straight: Cards of distinct consecutive denominations, not all in one suit: for example, 3 of hearts, 4 of hearts, 5 of spades, 6 of hearts, and 7 of clubs. Three of a kind: Three cards of one denomination, a fourth card of a second denomination, and a fifth card of a third denomination. Two pairs: Two cards from one denomination, another two from a second denomination, and the fifth card from a third denomination. One pair: Two cards from one denomination, with the third, fourth, and fifth cards from a second, third, and fourth denomination, respectively: for example, two 8’s, a king, a 5, and a 4. None of the above.