<Table> <Tr> <Th> Hand </Th> <Th> Frequency </Th> <Th> Probability </Th> <Th> Cumulative </Th> <Th> Odds </Th> </Tr> <Tr> <Td> Royal flush </Td> <Td> 4,324 </Td> <Td> 0.0032 % </Td> <Td> 0.0032 % </Td> <Td> 30,939 : 1 </Td> </Tr> <Tr> <Td> Straight flush ( excl . royal flush ) </Td> <Td> 37,260 </Td> <Td> 0.0279 % </Td> <Td> 0.0311 % </Td> <Td> 3,589.6 : 1 </Td> </Tr> <Tr> <Td> Four of a kind </Td> <Td> 224,848 </Td> <Td> 0.168 % </Td> <Td> 0.199 % </Td> <Td> 594 : 1 </Td> </Tr> <Tr> <Td> Full house </Td> <Td> 3,473,184 </Td> <Td> 2.60 % </Td> <Td> 2.80 % </Td> <Td> 37.5 : 1 </Td> </Tr> <Tr> <Td> Flush </Td> <Td> 4,047,644 </Td> <Td> 3.03 % </Td> <Td> 5.82 % </Td> <Td> 32.1 : 1 </Td> </Tr> <Tr> <Td> Straight </Td> <Td> 6,180,020 </Td> <Td> 4.62 % </Td> <Td> 10.4 % </Td> <Td> 20.6 : 1 </Td> </Tr> <Tr> <Td> Three of a kind </Td> <Td> 6,461,620 </Td> <Td> 4.83 % </Td> <Td> 15.3 % </Td> <Td> 19.7 : 1 </Td> </Tr> <Tr> <Td> Two pair </Td> <Td> 31,433,400 </Td> <Td> 23.5 % </Td> <Td> 38.8 % </Td> <Td> 3.26 : 1 </Td> </Tr> <Tr> <Td> One pair </Td> <Td> 58,627,800 </Td> <Td> 43.8 % </Td> <Td> 82.6 % </Td> <Td> 1.28 : 1 </Td> </Tr> <Tr> <Td> No pair </Td> <Td> 23,294,460 </Td> <Td> 17.4 % </Td> <Td> 100 % </Td> <Td> 4.74 : 1 </Td> </Tr> <Tr> <Td> Total </Td> <Td> 133,784,560 </Td> <Td> 100 % </Td> <Td> 100 % </Td> <Td> 0 : 1 </Td> </Tr> </Table>
<Table> <Tr> <Th> Hand </Th> <Th> Frequency </Th> <Th> Probability </Th> <Th> Cumulative </Th> <Th> Odds </Th> </Tr> <Tr> <Td> Royal flush </Td> <Td> 4,324 </Td> <Td> 0.0032 % </Td> <Td> 0.0032 % </Td> <Td> 30,939 : 1 </Td> </Tr> <Tr> <Td> Straight flush ( excl . royal flush ) </Td> <Td> 37,260 </Td> <Td> 0.0279 % </Td> <Td> 0.0311 % </Td> <Td> 3,589.6 : 1 </Td> </Tr> <Tr> <Td> Four of a kind </Td> <Td> 224,848 </Td> <Td> 0.168 % </Td> <Td> 0.199 % </Td> <Td> 594 : 1 </Td> </Tr> <Tr> <Td> Full house </Td> <Td> 3,473,184 </Td> <Td> 2.60 % </Td> <Td> 2.80 % </Td> <Td> 37.5 : 1 </Td> </Tr> <Tr> <Td> Flush </Td> <Td> 4,047,644 </Td> <Td> 3.03 % </Td> <Td> 5.82 % </Td> <Td> 32.1 : 1 </Td> </Tr> <Tr> <Td> Straight </Td> <Td> 6,180,020 </Td> <Td> 4.62 % </Td> <Td> 10.4 % </Td> <Td> 20.6 : 1 </Td> </Tr> <Tr> <Td> Three of a kind </Td> <Td> 6,461,620 </Td> <Td> 4.83 % </Td> <Td> 15.3 % </Td> <Td> 19.7 : 1 </Td> </Tr> <Tr> <Td> Two pair </Td> <Td> 31,433,400 </Td> <Td> 23.5 % </Td> <Td> 38.8 % </Td> <Td> 3.26 : 1 </Td> </Tr> <Tr> <Td> One pair </Td> <Td> 58,627,800 </Td> <Td> 43.8 % </Td> <Td> 82.6 % </Td> <Td> 1.28 : 1 </Td> </Tr> <Tr> <Td> No pair </Td> <Td> 23,294,460 </Td> <Td> 17.4 % </Td> <Td> 100 % </Td> <Td> 4.74 : 1 </Td> </Tr> <Tr> <Td> Total </Td> <Td> 133,784,560 </Td> <Td> 100 % </Td> <Td> 100 % </Td> <Td> 0 : 1 </Td> </Tr> </Table>
chances of getting a royal flush in texas holdem
chances of getting a royal flush in texas holdem
30,939 : 1
30,939 : 1