Hi ZS, assuming that whether or even otherwise one wins or loses on one scratch ticket (what is that, nevertheless?) is independent from winning or losing on every other scratch ticket, you treat each event as wages 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. Beat the chance of [losing] on 30 scratch tickets consecutively (if it is precisely what your is actually asking) must be (2/3)^30 = approximately your own.2 x 10^-6, which is about.0000052, or 52 coming from 10 million, which boils down to 1 chance out of 192,307.
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The Powerball lottery calculations are by a 1/59 for purchasers five white balls and 1/39 for that “red” power ball. Very first set of multipliers is 59x58x57x56x55. This group totals 600,766,320. Now divide 600,766,360 by 120 (1x2x3x4x5). Larger total is 5,006,386. One more a 1/39 chance to hook the “red” ball. 39 x 5,006,386 gives the real prospects of winning the Powerball Jackpot, namely 195,249,054 to step 1.
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