Assignment:
Q1. Seven points are located in a plane. List the possible numbers of lines determined by these points. Your final answer is simply a list of whole numbers. You should indicate how each comes about.
Q2. Ten pieces of candy are distributed randomly to three children, Arlo, Burl, and Clovis.
a. What is the probability that Arlo gets no candy?
b. What is the probability that Arlo gets more candy than Burl and Clovis together?
Q3. In the grid below, we will be interested in the number of paths from point A to point B. A step in a path is either one move to the right or one move up (never moving away from B).
a. How many different paths are there from A to B?
b. What is the probability that a random path goes through the point labeled C.
Provide complete and step by step solution for the question and show calculations and use formulas.