Various Flop Probabilities w/ Suited Connector

[Fortitude]

Using a suited connector with full range of straight in either direction, 67s for example, what is the probability of the following:

Flopping an open ended straight draw?

Flopping a 4 flush draw?

Flopping an open ended straight draw and flush draw?

Flopping an open ended straight flush draw?

Anything else you feel would be important to know. Maybe pair + other draw, draw + long shot draw, etc.

[BruceZ]

[ QUOTE ]
Flopping an open ended straight draw?

[/ QUOTE ]

9.6%, including the flush draws, pairs, and double gutshots.

[ QUOTE ]
Flopping a 4 flush draw?

[/ QUOTE ]

10.76%, including the straight draws, gutshots, and pairs.

[ QUOTE ]
Flopping an open ended straight draw and flush draw?

[/ QUOTE ]

1.26%

[ QUOTE ]
Flopping an open ended straight flush draw?

[/ QUOTE ]

3*33/C(50,3) = 0.5%.

That is, there are 3 pairs of cards which make the straight flush draw, and the third card cannot be one of the 9 cards that makes a flush, or one of the 6 that makes the straight, so 48-9-6 = 33.

[ QUOTE ]
Anything else you feel would be important to know. Maybe pair + other draw, draw + long shot draw, etc.

[/ QUOTE ]

The probability of flopping either a straight draw or a flush draw or both, but not a straight or a flush is 19.1%. This includes pairs. The probability of a flush draw with no straight draw is 9.5%. The probability of a straight draw with no flush draw is 8.36%.

See this post (http://archiveserver.twoplustwo.com/showthreaded.php?Cat=&Number=355216&page=&view=&sb =5&o=&vc=1) where these are derived different ways.