Hi ZS, assuming that whether not really one wins or loses on one scratch ticket (what is that, in either case?) is independent from winning or losing on additional scratch ticket, you treat each event as an independent event. Laws of probability tell us to multiply the various probabilities of independent affairs. It appears that the probability of [losing] on any particular scratch ticket must be 2/3. So then the probabilities of [losing] on 30 scratch tickets when (if it is exactly what your problem is asking) end up being (2/3)^30 = approximately 5.2 x 10^-6, which is about.0000052, or 52 out of 10 million, which comes from 1 chance out of 192,307.
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The good reason why the frequency theory can co-exist one numbers equality theory is mainly because certain lottery systems apply the former while some apply the latter.
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