Question: 1. Consider fifteen-word messages in English. Let A = the set of such messages which contain the word "bank" and let B = the set of messages which contain the word "bank" and the word "credit." Which event has the greater probability? Why?
2. A group of five persons consists of two men and three women. They are selected one-by-one in a random manner. Let Ei be the event a man is selected on the ith selection. Write an expression for the event that both men have been selected by the third selection.