For random pants decompositions (chosen uniformly at random out of those of total length at most L), Mirzakhani studied the distribution of the lengths of the individual components (as L tends to infinity). This result has been generalized independently by Mingkun Liu and Francisco Arana-Herrera to other simple multi-curves. In this talk we extend it further and use different methods based on convergence of measures on the space of currents to hold for any multicurve, simple or not.