Try small values
Discrete Mathematics
Level
pending
Suppose I have \(n>1\) spinners, each labelled a different integer between \(1\) and \(n\) inclusive, such that the ith spinner has the numbers \(1,2,\ldots,i\) with a \(\dfrac{1}{i}\) chance of each occurring. Suppose I toss all the spinners at once.
What is the probability that the sum is an even number?
Hint: this is a trick question.
by
Wen Z