Home » Test Prep » ACT Section 2: Math » What is the probability of selecting a black pen followed by a blue pen?
A box contains five blue pens, three black pens, and two red pens. If every time a pen is selected, it is removed from the box, what is the probability of selecting a black pen followed by a blue pen?
A. 1/6
B. 1/10
C. 1/50
D. 3/20
E. 77/90
Correct Answer: A
Explanation/Reference:
Explanation:
At the start, there are 5 + 3 + 2 = 10 pens in the box, 3 of which are black. Therefore, the probability of selecting a black pen is 3/10. After the black pen is removed, there are nine pens remaining in the box, five of which are blue. The probability of selecting a blue pen second is 5/9. To find the probability that both events will happen, multiply the probability of the first event by the probability of the second event: 3/10 x 5/9 = 15/90 = 1/6
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