Hi ZS, assuming that whether or not one wins or loses on one scratch ticket (what is that, anyhow?) is independent from winning or losing on any other scratch ticket, you treat each event as an independent event. Laws of probability tell us to multiply the various probabilities of independent situation. It appears that the probability of [losing] on any particular scratch ticket must be 2/3. So then the possibilities of [losing] on 30 scratch tickets one after the other (if it is precisely what your problem is asking) should be (2/3)^30 = approximately 5.2 x 10^-6, which is about.0000052, or 52 via 10 million, which amounts to 1 chance out of 192,307.
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The Powerball lottery calculations are considering a 1/59 for most important five white balls and 1/39 for the “red” power ball. The pioneer set of multipliers is 59x58x57x56x55. This group totals 600,766,320. Now divide 600,766,360 by 120 (1x2x3x4x5). Good deal total is 5,006,386. One more a 1/39 chance capture the “red” ball. 39 x 5,006,386 gives the real odds of winning the Powerball Jackpot, namely 195,249,054 to one particular.
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