Jackie has one red pencil. one yellow pencil, one blue pencil, one green pencil, one orange pencil, and one purple pencil. She also has one red pen, one blue pen, and one black pen. If Jackie randomly selects one pencil and one pen, what is the probability that she will select a purple pencil and a black pen in that order? A. 1/72 B. 1/18 C. 1/10 D. 1/2
Mathematics · High School · Tue Nov 03 2020
Answered on
Given :
Number of red pencils = 1
Number of yellow pencils = 1
Number of blue pencils = 1
Number of green pencils = 1
Number of orange pencils = 1
Number of purple pencils = 1
Total = 6
Favorable outcome (purple pencil) = 1
Probability = favorable outcome/Total outcome
= 1/6
Number of red pens = 1
Number of blue pens = 1
Number of black pens = 1
Total = 3
Probability of selecting black pen = 1/ 3
So, Probability of selecting purple pencil and black pen = 1/6 × 1/ 3
= 1/18
Hence, option (B) is correct.