For The Mathematically Inclined

The gas tank of a truck is cylindrical in shape with a radius of r inches and a lengh of l inches, and tank lays on its side. With a measuring stick you note how many inches of gas are in the tank. Given this depth of gas, how many cubic inches of gas are in the tank?

Four dogs occupy the four corners of a square with side of length a. At the same time each dog starts walking at the same speed directly toward the dog on his left. Eventually all four dogs will converge at the center of the square. What is the distance each dog walks until he reaches the center?

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The World Series consists of up to seven games, the first team to win four wins the series. Team A will play in their home field games 1, 2, 6, and 7. Games 3, 4, and 5 will be played at team B's home field. Assuming that each time has a 50% chance of winning every game, which team will is more likely have have the home field advantage the majority of the time?

PROBLEM #2

You have two bags of m&m candy. One bag has 99 red candies and 1 blue candy. The other bag has 99 blue candies and 1 red candy. You choose a bag at random, open it, and draw just one candy from the bag. If the candy drawn is red what is the probability what is the probability that it was drawn from the bag with 99 reds and 1 blue?