Thread: Odds of PPBBPPBB

Does anybody know the odds of this terrible two (4 in a row) showing up in a shoe

Thanks
Gerard

The most that i have seen is a continuation up to 20 hands and broke on the 21st.

Originally Posted by gerard711

Does anybody know the odds of this terrible two (4 in a row) showing up in a shoe

Thanks
Gerard

You will see this as often as you will see PPPPPPPP or PBPBPBPB or PPBPBBPP - or any of the remaining 252 [thus not including the 3 I offered and the original 1 gerard711 offered]

SOOooooo: 1/256 times.

But remember that there are perhaps 63 sets of 8 per shoe of 70 hands, so I would suggest you will see this somewhere on the order of 1 time per 4 shoes.

Sub-note: There are 63 sets of 8 occurences in a 70 hand shoe because you must count 1-8 as one such set, 2-9 as the second such set, 3-10 as the third such set - up to 63-70 as our 63rd set of 8 consecutive hands.

If you want to include BBPPBBPP as "the other" such streak/chop - you would then see EITHER BBPPBBPP OR PPBBPPBB on average once every 128 sets of 8 or about 1 time out of 2 shoes.

Because ODDS are only balanced over the LOOooong run, you will likely see - or not see - such sets a couple of times in one shoe - maybe even 4 times - then 2 times in the next shoe, then 3 times in the next shoe and then not again for 20 shoes!

Good replies eirescott!