Search

Megaball predictionReply
I agree that the probabilities of a particular vs. any number are different. I'm supposing you looked at the data (322 draws) and observed a particular ball that was drawn 26 times. However, there would have been no rational basis, before seeing the data, to predict that specific ball would appear more than any other. That's why my perspective is, if you are looking for evidence of bias, you have consider any ball. I also agree that coincidences, or unusual occurrences, happen all the ti
May 8, 2023, 10:50 pm - Orange71 - Mathematics Forum

How many combos in sequence for 5/36 matrix?Reply
The probability of such a consecutive sequence is 1/11781, which is 32/COMBIN(36,5). The cumulative probability of the 1st occurrence of this event on drawing 7722 or before, according to the Negative Binomial distribution, is 48.1%, which is close to the median (50%). There is nothing particularly unusual about what occurred.
Sep 7, 2022, 8:02 pm - Orange71 - Mathematics Forum

How many repeat combinations in Cash 5Reply
It was stated earlier that out of 8100 drawings (or thereabouts) of CT Cash 5 there were 93 instances of a set of numbers being drawn twice and 3 instances of a set of numbers being drawn 3 times. I ran my own random simulation of 1000 repetitions of 8100 drawings of the CT Cash 5 Game (5/35) in order to compare with the actual results reported. The event of 93 instances of sets of numbers being drawn exactly twice was at the 27.5 percentile of the 1000 simulations, so somewhat below average
Sep 25, 2022, 8:08 pm - Orange71 - Mathematics Forum

Chi-Squared Goodness of Fit Test for LotteriesReply
IMHO, in general government-run lotteries (in the western world at least) are not going to be exploitable in terms of statistical frequency attack. A lot of time, energy and money(!) is obviously put into trying. Eventually, if you look at enough lotteries, you'll find improbable outcomes and what appears to be non-randomness . Highly likely, that doesn't mean there is a flaw. Just if you sample enough, you get unusual patterns. (It's inevitable.) The people who have successfully exploited lotte
Mar 1, 2023, 2:46 pm - Orange71 - Mathematics Forum

Powerball Probability QuestionReply
This is good but there is an error in your calculation. The question was what is the probability two tickets win the same amount (not, match the same number of balls). 0/1 and 1/1 win the same amount -- $4 2/1 and 3/0 win the same amount -- $7 3/1 and 4/0 win the same amount -- $100 The calculation should be done with those three groups of two equal prizes added together. The probability of two Powerball tickets winning the same amount (given that both are winners) is very
Jun 24, 2022, 1:17 pm - Tucker Black - Mathematics Forum