Bascule is reading a book. What is the probability that the first digit of the page he is on is 1, 2, 3, 4 or 5?

a) obtain an expression
b) approximate a numerical value

consider that the maximum value for n is 9
then we have

P = 5/9 * 1 + 1/9 * 5/6 + 1/9 * 5/7 +
1/9 * 5/8 + 1/9 * 5/9

consider that the maximum value for n is 99,
then we have

P = 5/99 * 1 + 1/99 * 5/6 + 1/99 * 5/7 +
1/99 * 5/8 + 1/99 * 5/9 + (for n 1-10)
50/99 * 1 + 1/99 * 55/60 + 1/99 + .. +
1/99 * 55/99

agree?

Posted by Cheradenine on 2002-07-09 01:57:30