Hi ZS, assuming that whether not really one wins or loses on one scratch ticket (what is that, anyhow?) is independent from winning or losing on any scratch ticket, you treat each event as an unbiased event. Laws of probability tell us to multiply the various probabilities of independent events. It appears that the probability of [losing] on any particular scratch ticket must be 2/3. Beat the probabilities of [losing] on 30 scratch tickets back to back (if that maybe what your is actually asking) must be (2/3)^30 = approximately ten.2 x 10^-6, which is about.0000052, or 52 the actual 10 million, which boils down to 1 chance out of 192,307.

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The final aspect that you want to ask about is the way the pool handles members that can be new to the pool or decide to no longer be a member of the accumulate. Make sure you are clear on a new winnings are distributed to these members.