Hi ZS, assuming that whether or not one wins or loses on one scratch ticket (what is that, nevertheless?) is independent from winning or losing on additional scratch ticket, you treat each event as an independent 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. Useful and obviously the possibilities of [losing] on 30 scratch tickets when (if that’s what your problem is asking) must be (2/3)^30 = approximately four.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 in relation to a 1/59 for your first 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). Find total is 5,006,386. Is actually a 1/39 chance to hook the “red” ball. 39 x 5,006,386 gives you the real odds of winning the Powerball Jackpot, namely 195,249,054 to step 1.
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