A section of a boardwalk is made using 15 boards. Each board is 9 and 1/4 inches wide. The total width of the section is 144 inches. The 14 spacings between the boards are each equal. What is the width, in inches, of the spacing between each board? Write your answer as a fraction in simplest form.

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?