A jug contains five black marbles and five white marbles well mixed. A marble is removed and its colour is noted. A second marble is removed, without replacing the first marble, and its colour is also noted. If x is the total number of black marbles in the two draws, then x has a binomial distribution.

Question

Quizplus · Accepted Answer

The number of black marbles in the second draw is dependent on the colour of the first marble removed, so the trials are not independent, violating an important requirement for the binomial distribution. Therefore, x does not have a binomial distribution.

A Jug Contains Five Black Marbles and Five White Marbles