Assignment:
Q1. Let A(4,3) and B(7,11) be two points in a plane.
If all paths are equally likely, what would be the probability of choosing a path that begins with an up move and ends with an up move? (Each path is made up of moves that either go up one unit or over one unit to the right.)
Q2. In a state lottery game, anyone who picks 6 numbers out of 36 wins $50,000, no matter how many people correctly guessed the winning numbers. What are the odds of winning in this game?
Q3. The first three characters of a car license plate number are letter characters. Car license plates can have repeats. For a), remember that the combination "AA" is possible.
a) What's the probability of the first three characters being BAZ?
b) What's the probability of the second character being K?
c) What's the probability that the first character is either A, B, or C?
Provide complete and step by step solution for the question and show calculations and use formulas.