Hi ZS, assuming that whether or one wins or loses on one scratch ticket (what is that, in either case?) is independent from winning or losing on additional scratch ticket, you treat each event as an unbiased event. Laws of probability tell us to multiply the various probabilities of independent events. It appears that the probability of [losing] on any particular scratch ticket must be 2/3. So then the odds of [losing] on 30 scratch tickets when (if that must be your problem is asking) must be (2/3)^30 = approximately 0.2 x 10^-6, which is about.0000052, or 52 through 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 your “red” power ball. The pioneer set of multipliers is 59x58x57x56x55. This group totals 600,766,320. Now divide 600,766,360 by 120 (1x2x3x4x5). Your new total is 5,006,386. Presently there a 1/39 chance to find the “red” ball. 39 x 5,006,386 gives the real possibility of winning the Powerball Jackpot, namely 195,249,054 to certain.
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