Hi ZS, assuming that whether not really one wins or loses on one scratch ticket (what is that, in either case?) is independent from winning or losing on various 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. Prevails the chance of [losing] on 30 scratch tickets when (if that is what your is actually asking) end up being (2/3)^30 = approximately simple.2 x 10^-6, which is about.0000052, or 52 the actual 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. Site to website 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. Actual a 1/39 chance to hook the “red” ball. 39 x 5,006,386 gives the real probability of winning the Powerball Jackpot, namely 195,249,054 to a single.
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