In　practical　applications,　sampled-data　systems　are　often　affected　by　unforeseen　physical　constraints　that　cause　the　sampling　interval　to　deviate　from　the　expected　value　and　fluctuate　according　to　a　certain　probability　distribution.　This　probability　distribution　can　be　determined　in　advance　through　statistical　analysis.　Taking　into　account　this　stochastic　sampling　interval,　this　article　focuses　on　addressing　the　leader-following　sampled-data　consensus　problem　for　linear　multiagent　systems　(MASs)　with　successive　packet　losses.　First,　the　relationship　of　the　equivalent　sampling　interval　between　two　successive　update　instants　is　established,　taking　into　account　the　double　randomness　introduced　by　both　SPLs　and　stochastic　sampling.　Then,　the　equivalent　discrete-time　MAS　is　obtained,　and　the　overall　leader-following　consensus　problem　is　formulated　as　a　stochastic　stability　problem　of　the　equivalent　system　by　incorporating　the　sampled-data　consensus　protocol　and　properties　of　the　Laplacian　matrix.　Based　on　the　equivalent　the　discrete-time　system,　a　consensus　criterion　is　derived　under　a　directed　graph　by　using　the　Lyapunov　theory　and　leveraging　a　vectorization　technique.　By　the　introduction　of　a　matrix　reconstruction　approach,　the　mathematical　expectation　of　a　product　of　three　matrices,　including　the　system　matrix　and　its　transpose,　can　be　determined.　Then,　the　consensus　protocol　gain　is　designed.　Finally,　an　example　is　provided　to　validate　our　theoretical　results.