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id	challengeType	title
5900f48a1000cf542c50ff9d	5	Problem 286: Scoring probabilities

Description

Barbara is a mathematician and a basketball player. She has found that the probability of scoring a point when shooting from a distance x is exactly (1 - x/q), where q is a real constant greater than 50.

During each practice run, she takes shots from distances x = 1, x = 2, ..., x = 50 and, according to her records, she has precisely a 2 % chance to score a total of exactly 20 points.

Find q and give your answer rounded to 10 decimal places.

Instructions

Tests

tests:
  - text: <code>euler286()</code> should return 52.6494571953.
    testString: assert.strictEqual(euler286(), 52.6494571953, '<code>euler286()</code> should return 52.6494571953.');

Challenge Seed

function euler286() {
  // Good luck!
  return true;
}

euler286();

Solution

// solution required

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