Hi ZS, assuming that whether not really 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 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 possibility of [losing] on 30 scratch tickets when (if it is exactly what your problem is asking) must be (2/3)^30 = approximately ten.2 x 10^-6, which is about.0000052, or 52 out of 10 million, which boils down to 1 chance out of 192,307.
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