3

Part of 1977 Poland - Second Round

Problems(1)

7 pieces of paper in the hat.

Source: Polish MO Recond Round 1977 p3

There are 7 pieces of paper in the hat. On the

n

th piece of paper there is written the number

2^n-1

n = 1, 2, \ldots, 7

). We draw cards randomly until the sum exceeds 124. What is the most probable value of this sum?

combinatoricsnumber theory