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 some other scratch ticket, you treat each event as a separate event. Laws of probability tell us to multiply the various probabilities of independent races. It appears that the probability of [losing] on any particular scratch ticket must be 2/3. So then the possibilities of [losing] on 30 scratch tickets when (if that’s what your is actually asking) should be (2/3)^30 = approximately 5.2 x 10^-6, which is about.0000052, or 52 via 10 million, which boils down to 1 chance out of 192,307.
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