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 some other scratch ticket, you treat each event as an unbiased 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 chance of [losing] on 30 scratch tickets when (if it is precisely what your is actually asking) must be (2/3)^30 = approximately four.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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