# 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.