Exercise

Exercise 1. Independence

Imagine you draw two balls from a box containing colored balls. You either replace the first ball before you draw the second or you leave the first ball out of the box when you draw the second ball.

Under which situation are the two draws independent of one another?

Remember that two events \(A\) and \(B\) are independent if \(\mbox{Pr}(A \mbox{ and } B) = \mbox{Pr}(A) P(B)\).

Instructions

50 XP

Possible answers

You don't replace the first ball before drawing the next.

You do replace the first ball before drawing the next.

Neither situation describes independent events.

Both situations describe independent events.