There are three coins.One is a two headed coin (having head on both faces)| CBSE Class 12 Exam 2014

Problem Statement : There are three coins. One is a two-headed coin (having head on both faces), another is a biased coin that comes up heads 75% of the times and third is also a biased coin that comes up tails 40% of the times. One of the three coins is chosen at random and tossed, and it shows heads. What is the probability that it was the two-headed coin?

Explore a classic probability problem from the CBSE Class 12 (2014) examination involving three distinct coins: a two-headed coin, a coin biased to land heads 75% of the time, and another biased to land tails 40% of the time. This detailed solution walks you through calculating the probability that the coin showing heads is the elusive two-headed one. Ideal for students preparing for exams, this guide breaks down the concepts of conditional probability and biased outcomes in an easy-to-understand manner.