List of top Mathematics Questions on Bayes' Theorem asked in COMEDK UGET

Three bags contain a number of red and white balls as follows:
• Bag I: 3 red balls
• Bag II: 2 red balls and 1 white ball
• Bag III: 3 white balls The probability that bag \( i \) will be chosen and a ball is selected from it is \( \frac{i}{6}, i = 1, 2, 3 \). If a white ball is selected, what is the probability that it came from Bag III?

A bag contains \( (n + 1) \) coins. It is known that one of these coins has a head on both sides, whereas the other coins are fair. One of these coins is selected at random and tossed. If the probability that the toss results in heads is \( \frac{7}{12} \), then the value of \( n \) is :

In an entrance test, there are multiple choice questions. There are four possible answers to each question of which only one is correct. The probability that a student knows the answer to a question is 90%. If he gets the correct answer to a question, then the probability that he was guessing is