Hi ZS, assuming that whether or not one wins or loses on one scratch ticket (what is that, anyhow?) is independent from winning or losing on every other scratch ticket, you treat each event as a self-sufficient 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. Prevails the possibilities of [losing] on 30 scratch tickets when (if that’s what your problem is asking) should be (2/3)^30 = approximately ten.2 x 10^-6, which is about.0000052, or 52 the actual 10 million, which amounts to 1 chance out of 192,307.
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The final aspect that want request about is just how the pool handles members that are either new into the pool or decide to no longer be a part of the pool. Make sure you do understand on your way the winnings are distributed to people members.