SOLUTION: Please help me solve this. As part of a probability experiment, Elliott is to answer 4 multiple-choice questions. For each question, there are 3 possible answers, only 1 of whic

Algebra ->  Probability-and-statistics -> SOLUTION: Please help me solve this. As part of a probability experiment, Elliott is to answer 4 multiple-choice questions. For each question, there are 3 possible answers, only 1 of whic      Log On


   



Question 1009550: Please help me solve this.
As part of a probability experiment, Elliott is to answer 4 multiple-choice questions. For each question, there are 3 possible answers, only 1 of which is correct. If Elliott randomly and independently answers each question, what is the probability that he will answer the 4 questions correctly?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 4 questions with 3 possible choices for each question so there are 3%5E4 possible outcomes.
Only one of the outcomes is the one with all four choices correct so,
P=1%2F3%5E4=1%2F81