MathDB
urn was filled with 3 balls , tossing a coin

Source: Spanish Mathematical Olympiad 1979 P6

December 23, 2022
combinatoricsprobability

Problem Statement

An urn was filled with three balls by the following procedure: it was thrown a coin three times, inserting, each time a white ball came up heads, and every time tails came up, a black ball. We draw from this urn, four times consecutive, one ball; we return it to the urn before the next extraction. Which is the probability that in the four extractions a cue ball is obtained?