Question

Julie has two formal events to go to--one for her work and one for her partner's work. She has six formal dresses--two blue ones, one black, one red, and two white. Since the same people will not be at the two events she is okay wearing the same dress. She finds the probabilty that she wears a blue and a red dress as p(blue and red) = 2 6 · 1 6 . What do you know about the two events?

Answer 1

The two events are independent.

Because she does not care if she wears the same dress twice, this implies that she will select two dresses with replacement. This tell us the events will be independent.

Numerically, the probability is 2/6(1/6); this is because 2 of the 6 dresses are blue and 1 of the 6 is red. This means that she did replace the dress before selecting another, since the total number of dresses did not change for the second probability. Thus the events are independent.