Mathematics > statistics-and-probability > Probability

Case Study - 1 Some students are having a misconception while comparing decimals. For example, a student may mention that $78.56 > 78.9$ as $7856 > 789$. In order to assess this concept, a decimal comparison test was administered to the students of class VI through the following question: In the recently held Sports Day in the school, 5 students participated in a javelin throw competition. The distances to which they have thrown the javelin are shown below in the table:

The students were asked to identify who has thrown the javelin the farthest. Based on the test attempted by the students, the teacher concludes that $40\%$ of the students have the misconception in the concept of decimal comparison and the rest do not have the misconception. $80\%$ of the students having misconception answered Bijoy as the correct answer in the paper. $90\%$ of the students who are identified with not having misconception, did not answer Bijoy as their answer.

On the basis of the above information, answer the following question: (i) What is the probability of a student not having misconception but still answers Bijoy in the test?