Hi ZS, assuming that whether or one wins or loses on one scratch ticket (what is that, either way?) 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 races. It appears that the probability of [losing] on any particular scratch ticket must be 2/3. Useful and obviously the probability of [losing] on 30 scratch tickets one after (if that is what your problem is asking) must be (2/3)^30 = approximately four.2 x 10^-6, which is about.0000052, or 52 through 10 million, which amounts to 1 chance out of 192,307.
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The reasons why the frequency theory can co-exist that’s not a problem numbers equality theory is mainly because certain lottery systems apply the former while some apply the latter.
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