Originally Posted by
delphiguru
Please, forgive me. I'm new to the website and don't know my way around yet. I wanted to reply to a post from a person who said they saw 28 consecutive cards dealt that were less than 10 value. I am a retired computer programmer and I've written a BJ play and analysis program for my own pleasure and the person's statement that a friend had told him that the odds of this occurring were 1:6,000+ intrigued me. So, I decided to find out for myself and I wrote a routine to shuffle continuously an 8-deck shoe until the number of consecutive cards I specified were found. I looked for 4, 6, 8, 10, 12 14, and 20 consecutive cards < 10 value.
First, my shuffle routine is completely random and not weighted in any way. The following data is for a 8-deck shoe.
Here are my findings...
SEARCHING FOR CONSECUTIVE CARDS LT (Less tan) 10 VALUE
NUM LT10 CARDS NUMBER of SHUFFLES TO FIND THESE CARDS
4 20, 1, 2, 14, 20
6 43, 16, 25, 43, 25
8 43, 16, 24, 46, 24
10 52, 216, 42, 187, 101
12 117, 14, 1063, 27, 276
14 934, 540, 894, 455, 59
20 NOT FOUND IN 10,000 SHUFFLES
So, I ran the routine searching for 20 consecutive cards less than 10 value, but only up to 50,000 shuffles max and found
20 consecutive cards < 10 value at the 16,900th shuffle.
If it took 16,900 shuffles to find 20 consecutive cards lower than 10 value, I'm not sure that I'd be able to find 28 consecutive cards in 100,000 shuffles.
I wouldn't say that the dealer cheated the players who received 28 consecutive cards lower than 10, but, I wouldn't play there again.
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