SOLUTION: Suppose that a jar contains 4 pens: 2 black, 1 blue, and 1 red. Three people select a pen at random from the jar, sign a document, and replace the pen in the jar before the next p

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that a jar contains 4 pens: 2 black, 1 blue, and 1 red. Three people select a pen at random from the jar, sign a document, and replace the pen in the jar before the next p      Log On


   



Question 872056: Suppose that a jar contains 4 pens: 2 black, 1 blue, and 1 red. Three people select a pen at random from the jar, sign a document, and replace the pen in the jar before the next person selects a pen. What is the probability that none of the people use the red pen to sign the document?
Found 2 solutions by Yzeph, Fombitz:
Answer by Yzeph(21) About Me  (Show Source):
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Look at all the possible outcomes, there are 27 of them.
K - black, B-blue, R-red
.
.
KKK KKB KKR KBK KBB KBR KRK KRB KRR <-- 4 w/o R
BKK BKB BKR BBK BBB BBR BRK BRB BRR <-- 4 w/o R
RKK RKB RKR RBK RBB RBR RRK RRB RRR <-- 0 w/o R
.
.
Look at the outcomes that do not have an R in them.
There are 8 of them.
P%28no_R%29=8%2F27