Question

A bag contains one red pen, four black pens, and three blue pens. two pens are randomly chosen from the bag and are not replaced.

to the nearest hundredth, what is the probability that a black pen is chosen first and then another black pen is chosen?

0.02
0.19
0.21
0.25

Answer 1

8 total pens....4 are black

first pick, probability of being black is 4/8
2nd pick. without replacing, probability is 3/7

probability of a black pen picked first and then another black pen picked again is : 4/8 * 3/7 = 12/56 = 0.21