How often does the board pair and runner runner flush!
![](https://s3.amazonaws.com/twoplustwo-actually-definitely-helping-stud/userimages/PI53Xiy.jpeg)
Hey! Resident fish here again!
Stuck yet again and trying my hardest before I post here!
I have worked out how often the board pairs
40/47 x 36/46 =66.6
100 - 66.6 = 33% rounded
I have also worked out how often the board has runner runner flush
10/47 x 9/46 = 4% rounded
The answer to the picture is 5%, but my dumbass has no clue how both those numbers relate in anyway possible to 5%
Where am I going wrong?
*Bonus question*
![](https://s3.amazonaws.com/twoplustwo-actually-definitely-helping-stud/userimages/WxSJ42u.jpeg)
In this picture I worked out the answer by using
39/47 x 38/46 = 68.5 percent (69% rounded)
How did I get this answer without having to subtract 68.5 from 100?
I thought you work out how often it does not happen x does not happen = N and then take N from 100%?
Here it was just one step!
Please explain Iām so confused!
Thank you in advance!!ā
2 Replies
Hey! Resident fish here again!
Stuck yet again and trying my hardest before I post here!
I have worked out how often the board pairs
40/47 x 36/46 =66.6
100 - 66.6 = 33% rounded
I have also worked out how often the board has runner runner flush
10/47 x 9/46 = 4% rounded
The answer to the picture is 5%, but my dumbass has no clue how both those numbers relate in anyway possible to 5%
Where am I going wrong?
!ā
I'm not going to do any of the math, but just make an observation. You are trying to figure out how often it will be runner-runner flush - which would make your flush with the deuce. The question just says "complete the club flush" - and I would interpret that to mean if someone had a flush draw. So only one club would be needed. So, if my interpretation is correct, you are simply trying to solve the wrong problem.
I think the correct answer to question #1 is:
Spoiler
Never š