I believe James989 and Gronbog know this stuff very well, but they have been silent.
Perhaps, before reaching definitive conclusions such as "This is incorrect", it's good to consider what is known as the benefit of the doubt.
For example, you could write: "I'm not sure about that result", It sounds a bit more polite.
On the other hand, when you question something, you should do it based on some personal calculation or a reliable source.
That's different from saying, "It's wrong just because". Do you understand?
Having clarified this, I'll answer your questions, but I want to make it clear that I don't intend to go any further.
If I roll 100 times, each of the following examples is counted as ONE 777 streak:
777A …, ==> One streak of length 3
X777EFG …, ==> One streak of length 3
XYZ7777W…, ==> One streak of length 4
XYZ777PQW777Y …, ==> One streak of length 3
XYZ777PQW77777Y … ==> One streak of length 5
That's the way streaks are counted.
Sincerely,
Cac
Luck is what happens when preparation meets opportunity.
I agree I’m rude. Apologies! I have been seeking some clarification on these things, but nobody really cared, so I guess you are my answer. On these online calculators, the following is how they define a 777 streak though:
777A …, ==> One streak of length 3
X777EFG …, ==> One streak of length 3
XYZ7777W…, ==> One streak of length 3
XYZ777PQW777Y …, ==> One streak of length 3
XYZ777PQW77777Y … ==> One streak of length 3
I was just rereading the thread and came across your question, which I had failed to respond to previously. So, the 0.52 would correspond to the 0.48, and then 0.43 would become 0.48, if we exclude ties. For the streak question, I suppose we can define the streaks either way, but normally, if we push a hand, we say by convention that it doesn't interrupt a streak.
Don
I am no real authority either, but luckily I can write basic code for a basic mathematical concept
For a game of blackjack:
A winning streak including pushes (p = 0.4222 + 0.0848 = 0.507) , the probability of a winning streak of 20 in 7000 rounds is 0.00428600
A winning streak excluding pushes (p = 0.4222) , the probability of a winning streak of 20 in 7000 rounds is 0.00428600 is 0.0001288758
A losing streak including pushes (p = 0.491 + 0.0848 = 0.5758), the probability of a losing streak of 20 in 7000 rounds is 0.0470625
A losing streak excluding pushes (p = 0.491), the probability of a losing streak of 20 in 7000 rounds is 0.002329314
Chance favors the prepared mind
Bookmarks