-
PowerBall Mania
The Powerball jackpot is approaching another record of
Five numbers 1..69 + one Powerball number from 1..26 is all you need. Chances are 1 in 292 million according to the website.
69 68 67 66 65 26 = 35.064.160.560 combinations, but since the order does not matter (1,2,3,4,5 = 5,4,3,2,1), the probability is much lower. With a set of 5 numbers, there are 5 4 3 2 * 1 possible ways to order the numbers. That is 5! = 120.
The number of possible draws is
35.064.160.560 / 120 = 292.201.338Rewriting using the factorial expression:
69 68 67 66 65 = 69! / 64! = 69! / (69-5)!Adding the PowerBall with 26 combinations: (69! 26) / ((69-5)! 5!) = 292.201.338
Using the binominal coefficient:
The blog does not support the markdown math syntax. If, the code for the two math expressions above would be:
$$ \displaystyle {n\choose k}=\frac{n!}{k!(n-k)!} $$
$$ \displaystyle {69\choose 5}*26=\frac{69!}{5!(69-5)!}*26=292.201.338 $$
I have officially purchased 2 tickets to be part of this epic event.
Update
Not only I missed the numbers, everyone else did so too.
Doubled up to continue this epic event.
Update
10 33 41 47 56 10, worth 2 Billion a few days ago.
-
Nationaler Katzentag ๐บ
National ๐บ Day!
And in two days it's ๐๐ป
Be aware, turns a ๐ into a ๐โโฌ
-
Internationaler Katzentag ๐บ
My cat reminded me today of the International ๐บ Day!
Do not forget the extra treats today!
๐๐๐๐๐๐๐๐๐๐๐๐๐๐๐
-
Katzentreppe ๐บ
My cat asked me for a staircase. After a long design discussion he finally said: "meow"! Project is on!
All parts except the round material were cut from those boards.
The boards were cut in length.
And to thinner size.
The staircase has an angle of 30ยฐ
With a fixed vise all the holes in the treads were drilled.
One of the wooden rounds broke and I had to cut one manually. Took longer than expected.
The railing holes are cut with a 30ยฐ alignment using one of the cut offs as a guide.
Two parts assembly.
Construction finished. Painting!
Customer is happy!
It is his staircase.
-
Cafe Roussillon, Paris, France
Typical french cafe in this neighborhood: Cafe Roussillon. Right in the center of Paris between the Eiffel tower and the Louvre.
Interaktives Panorama Cafe Roussillon