cassieforlife5
  • cassieforlife5
Probability Question for ACT?? As part of a probability experiment, Elliott is to answer 4 questions. Each question has 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? The answer is 1/81 but how?
Mathematics
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

zepdrix
  • zepdrix
The odds of getting the first question answered correctly is \(\large\rm \dfrac{1}{3}\). The odds stay the same for each successive question. He wants to get all 4 of these correct and they are independent events so the multiplication principle tells us to multiply all these odds together if we want all events to happen.\[\large\rm \frac{1}{3}\cdot\frac{1}{3}\cdot\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{3^4}=\frac{1}{81}\]
zepdrix
  • zepdrix
Understand how that works? :O

Looking for something else?

Not the answer you are looking for? Search for more explanations.