Home > Probability > CBSE > 060d7dcd-8e08-4039-96c9-fbbd25605497
Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Probability
RS Aggarwal
CBSE
Grade 12

Question:

In answering a question on a multiple choice test, a student either knows the answer or guesses. Let $3/4$ be the probability that he knows the answer and $1/4$ be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability $1/4$. What is the probability that the student knows the answer given that he answered it correctly?

Step-by-Step Solution

Key Concept: Bayes Theorem: P(K|C) = (3/4 * 1) / (3/4 * 1 + 1/4 * 1/4) = (3/4) / (13/16) = 12/13.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer:
Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.

Master Probability with Mathbee

Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.

Start Practicing for Free