Hi ZS, assuming that whether or one wins or loses on one scratch ticket (what is that, nevertheless?) 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 ordeals. It appears that the probability of [losing] on any particular scratch ticket must be 2/3. Propensity the probabilities of [losing] on 30 scratch tickets consecutively (if that’s what your problem is asking) must be (2/3)^30 = approximately your own.2 x 10^-6, which is about.0000052, or 52 the actual 10 million, which comes from 1 chance out of 192,307.
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The final aspect that want must about is the way the pool handles members that are generally new into the pool or decide to no longer be a part of the pool. Make sure you are evident on any winnings are distributed in order to those members.