Question

NO LINKS!! URGENT HELP PLEASE!!!

Bob is known for making errors when correcting his students' papers. On any given problem, he has a 40% chance of grading the problem correctly. (That is, making a correct solution as correct or a wrong solution as incorrect.)

Victoria is pretty good at math, but on any problem, she has an 80% chance of getting the correct answer. Victoria just took a one-question quiz in Mr. Bob's class. What is the probability that she will get 100%? What is the probability that she does the problem correctly, but is marked as wrong? Make a diagram and explain completely.

Answer 1

0.48, or 48%.

Explanation:

To solve this problem, we can use a tree diagram to visualize the probabilities.

First, we'll consider the probability that Victoria gets the question correct:

• Probability that Victoria answers the question correctly: 0.8
• Probability that Victoria answers the question incorrectly: 0.2

Next, we'll consider the probability that Bob grades the question correctly:

• Probability that Bob grades the question correctly: 0.4
• Probability that Bob grades the question incorrectly: 0.6

Using these probabilities, we can calculate the probability of each outcome:

• Probability that Victoria gets 100%: 0.8 x 0.4 = 0.32, or 32%
• Probability that Victoria answers correctly, but is marked as incorrect: 0.8 x 0.6 = 0.48, or 48%

Therefore, the probability that Victoria will get 100% is 0.32, or 32%. The probability that Victoria answers the problem correctly, but is marked as wrong is 0.48, or 48%.