Hi ZS, assuming that whether or even otherwise one wins or loses on one scratch ticket (what is that, post?) is independent from winning or losing on various other scratch ticket, you treat each event as persistent event. Laws of probability tell us to multiply the various probabilities of independent situation. It appears that the probability of [losing] on any particular scratch ticket must be 2/3. Beat the possibilities of [losing] on 30 scratch tickets back to back (if it is exactly what your problem is asking) end up being (2/3)^30 = approximately your own.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 want to ask about is when the pool handles members that are generally new into the pool or decide to no longer be a member of the pool. Make sure you are clear on your way the winnings are distributed to members.