Hi ZS, assuming that whether or not one wins or loses on one scratch ticket (what is that, in either case?) is independent from winning or losing on any other scratch ticket, you treat each event as a separate 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 probability of [losing] on 30 scratch tickets consecutively (if it is exactly what your problem is asking) should be (2/3)^30 = approximately ten.2 x 10^-6, which is about.0000052, or 52 coming from 10 million, which amounts to 1 chance out of 192,307.

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The good reason why the frequency theory can co-exist that’s not a problem numbers equality theory is because certain lottery systems apply the former while some apply disorderly.

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