965 B
965 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f48a1000cf542c50ff9d | Problem 286: Scoring probabilities | 5 | 301937 | 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 - \frac{x}{q}
), where q
is a real constant greater than 50.
During each practice run, she takes shots from distances x = 1, x = 2, \ldots, 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.
--hints--
scoringProbabilities()
should return 52.6494571953
.
assert.strictEqual(scoringProbabilities(), 52.6494571953);
--seed--
--seed-contents--
function scoringProbabilities() {
return true;
}
scoringProbabilities();
--solutions--
// solution required