[jacks]

A die is loaded such that the probability of throwing the number \( i \) is proportional to its reciprocal.

then the probability that \( 3 \) apper in a single throw is

[Héctor Manuel]

If \( p_i \) is the probability for get an \( i \), then \( p_i=\displaystyle\frac{k}{i} \) for all \( i\in\{1,2,\cdots,6\} \).  But \( \displaystyle\sum_{i=1}^6{p_i}=1 \).   Find \( k \) from this equation, and conclude.

Greetings.

[jacks]

thanks hector manuel