Hi ZS, assuming that whether not really one wins or loses on one scratch ticket (what is that, either way?) is independent from winning or losing on additional scratch ticket, you treat each event as a separate event. Laws of probability tell us to multiply the various probabilities of independent ordeals. It appears that the probability of [losing] on any particular scratch ticket must be 2/3. Beat the probability of [losing] on 30 scratch tickets one after the other (if it is exactly what your problem is asking) end up being (2/3)^30 = approximately four.2 x 10^-6, which is about.0000052, or 52 the actual 10 million, which comes down to 1 chance out of 192,307.

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The reasons the frequency theory can co-exist while using the numbers equality theory is because certain lottery systems apply the former while some apply however.

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