7: Three students A, B and C are nominated for a scholarship. The three students have equally sound academic records, so let us assume that they have equal chance of getting the scholarship. Student A learned the situation and wanted to have more information. He asked a professor who already knew the result and said, "Professor, of the other two nominees, please name one who will not get the scholarship!" The professor pondered for a moment and replied, "Student C". Student A was very happy and ran to see his girlfriend saying "My chance has now increased from 1/3 to 1/2 because student C is out." His girlfriend replied, "But what if the professor's answer is student BY" A said, "Well, it is a similar situation and my chance would also be increased to 1/2." His girlfriend laughed and said, "If your chance will be 1/2 whatever the professor's answer is, why did you have to ask?" Explain whether A is right