Hi ZS, assuming that whether or not one wins or loses on one scratch ticket (what is that, nevertheless?) is independent from winning or losing on various other scratch ticket, you treat each event as wages 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. Useful and obviously the probabilities of [losing] on 30 scratch tickets one after the other (if it is exactly what your issue is asking) should be (2/3)^30 = approximately four.2 x 10^-6, which is about.0000052, or 52 via 10 million, which depends upon 1 chance out of 192,307.
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The final aspect that you want request about is when the pool handles members that may be new into the pool or decide to no longer be part and parcel of the accumulate. Make sure you are clear on your way the winnings are distributed in order to those members.