KIndly assist..

Example 2.15 Four card players cut for the deal. That is, each player removes from the top of a well-shuffled 52-card deck as many cards as he or she chooses. He then turns them over to expose the bottom card of his "cut." He or she retains the cut card. The highest card will win, with the ace high. If the first player draws a nine, what is then his probability of winning without a recut for tie?e) mocha}. ' 60. On the plane, parallel lines are drawn at a distance 21: apart. A coin of radius nor: is thrown at random on the plane. What is the probability that the coin does not intersect any of the (innitely many) lines? 61. On an innite chess board with side of a square equal to a, a coin of diameter 2r91>92> ... c) Prove that if n and r increase indefinitely where the mean number of particles, r, arriving at one cell, tends to 2