10. (8 pts) a) In a certain lottery game you choose a set of six numbers out of 64 numbers. Find the probability that none of your numbers match the six winning numbers. (4 pts) b) An experiment consists of picking at random a bit string of length five. Consider the following events: Ey: the bit string chosen begins with 1; Ez: the bit string chosen ends with 1. Determine whether E, and Eare independent. Show your work. (4 pts)