Hi ZS, assuming that whether or one wins or loses on one scratch ticket (what is that, anyhow?) is independent from winning or losing on any other scratch ticket, you treat each event as a self-sufficient 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. Several the possibility of [losing] on 30 scratch tickets consecutively (if that’s what your problem is asking) should be (2/3)^30 = approximately your own.2 x 10^-6, which is about.0000052, or 52 out of 10 million, which depends upon 1 chance out of 192,307.
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The Powerball lottery calculations are in relation to a 1/59 for earlier five white balls and 1/39 for the “red” power ball. To begin with set of multipliers is 59x58x57x56x55. This group totals 600,766,320. Now divide 600,766,360 by 120 (1x2x3x4x5). Good deal total is 5,006,386. Presently there a 1/39 chance to capture the “red” ball. 39 x 5,006,386 gives the real prospects of winning the Powerball Jackpot, namely 195,249,054 to first.
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