Question

Determine the probability of the event, given the following information. Express as a reduced fraction.

A drawer contains 30 pens of various colors: 4 are black, 10 are blue, 3 are red, 6 are green, 6 are blue and red, and 1 is white

A green pen is removed from the drawer and replaced before a black pen is removed.

Answer 1

2/75

Explanation:

6 of the 30 pens are green, so the probability of selecting a green pen is 6/30 = 1/5.

The pen is then replaced, so there are still 30 pens in the drawer. 4 of the pens are black, so the probability of selecting a black pen is 4/30 = 2/15.

The probability of both events is therefore 1/5 × 2/15 = 2/75.