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In a lottery in which the ratio of the number of losing tickets to the number of winning tickets is 39:1, how many tickets should one buy to give oneself even odds of winning a prize? Rather than using modern technology to find an exact value for log(1 + 1/q), use De Moivre's approach: solve x * log(1 + 1/q) = log 2 by using the fact that log(1 + 1/q) ≈ (1/q). Do not use your scientific calculator to find an exact value for log(1 + 1/q), that's not how De Moivre did it!