| Hand____________ | Frequency__ | Probability__ | Cumulative__ | Odds against |
| Royal Flush | 4,324 | 0.0032% | 0.0032% | 30,939 : 1 |
| Straight Flush | 37,26 | 0.0279% | 0.0311% | 3,589.6 : 1 |
| Four of a Kind | 224,848 | 0.168% | 0.199% | 594 : 1 |
| Full House | 3,473,184 | 2.60% | 2.80% | 35.7 : 1 |
| Flush | 4,047,644 | 3.03% | 5.82% | 32.1 : 1 |
| Straight | 6,180,020 | 4.62% | 10.4% | 20.6 : 1 |
| Three of a Kind | 6,461,620 | 4.83% | 15.3% | 19.7 : 1 |
| Two Pair | 31,433,400 | 23.5% | 38.8% | 3.26 : 1 |
| One Pair | 58,627,800 | 43.8% | 82.6% | 1.28 : 1 |
| No Pair/ High Card | 23,294,460 | 17.4% | 100% | 4.74 : 1 |
I will point it out right now, the Frequency of Two Pair and One Pair is higher than Zilch, compared to 5 hand poker the which increases as the value of the hand decreases. This must be the reason why Texas Hold 'Em Poker is the tournament choice for poker.
Additional Notes
Cumulative probability refers to the probability of drawing a hand as good as or better than the specified one. For example, the probability of drawing three of a kind is approximately 2.11%, while the probability of drawing a hand at least as good as three of a kind is about 2.87%. The cumulative probability is determined by adding one hand's probability with the probabilities of all hands above it.
Odds are defined as the ratio of the number of ways not to draw the hand, to the number of ways to draw it. In statistics, this is called odds against. For instance, with a royal flush, there are 4 ways to draw one, and 2,598,956 ways to draw something else, so the odds against drawing a royal flush are 2,598,956 : 4, or 649,739 : 1. The formula for establishing the odds can also be stated as (1/p) - 1 : 1, where p is the aforementioned probability.
Straight Flush is different from Royal Flush which is comprised of 10, Jack, Queen, King and Ace while the former is comprised of the other card numbers.
Flush is different from Straight Flush and Royal Flush where Straight Flush and Royal Flush has a condition that there is a order of cards of the same suit whereas Flush just needs to have the same suit.
Straight is different from Straight Flush and Royal Flush where both has the condition of Same suit and order for both hands, Straight on the other hand just needs to be in order even if not the same suit.
Note: Thank you @alegotardo
Source: https://en.m.wikipedia.org/wiki/Poker_probability
Link to the topic for comparison: https://bitcointalksearch.org/topic/m.55619133