Q.1 A speaks truth in 60% of the case and B in 90% of the cases. In what percentage of case are they likely to contradict each other in stating the same fact?
Q.2 A problem in mathematics is given to three studenys (A, B, C)whose chances of solving it are 1/3, 1/5 and 1/6 respectively. Find the probability that(i) one of them is able to solve the problem correctly. (ii) any two out of A, B, C will solve the problem?
Here is link to answer for your first query:
https://www.meritnation.com/ask-answer/question/are-they-likely-to-contradict-each-other-in-stating-the/probability/6795666
https://www.meritnation.com/ask-answer/question/are-they-likely-to-contradict-each-other-in-stating-the/probability/6795666