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 an unbiased 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. Propensity the chance of [losing] on 30 scratch tickets consecutively (if it is exactly what your issue is asking) end up being (2/3)^30 = approximately 5.2 x 10^-6, which is about.0000052, or 52 out of 10 million, which boils down to 1 chance out of 192,307.
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The Powerball lottery calculations are derived from a 1/59 for the earliest five white balls and 1/39 for your “red” power ball. Only set of multipliers is 59x58x57x56x55. This group totals 600,766,320. Now divide 600,766,360 by 120 (1x2x3x4x5). Increased total is 5,006,386. Hard work a 1/39 chance to trap the “red” ball. 39 x 5,006,386 gives you the real possibility of winning the Powerball Jackpot, namely 195,249,054 to certain.
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