Hi ZS, assuming that whether not really one wins or loses on one scratch ticket (what is that, in any case?) is independent from winning or losing on any other scratch ticket, you treat each event as persistent event. Laws of probability tell us to multiply the various probabilities of independent gatherings. 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 back to back (if that maybe what your problem is asking) should be (2/3)^30 = approximately 0.2 x 10^-6, which is about.0000052, or 52 out of 10 million, which amounts to 1 chance out of 192,307.
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The reasons why the frequency theory can co-exist with the numbers equality theory happens because certain lottery systems apply the former while some apply however.
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