diff --git a/src/distributions/bool.jl b/src/distributions/bool.jl
index 7399d5b..5114645 100644
--- a/src/distributions/bool.jl
+++ b/src/distributions/bool.jl
@@ -11,7 +11,7 @@ end
 
 pdf(d::BoolDistribution, s::Bool) = s ? d.p : 1.0-d.p
 
-rand(rng::AbstractRNG, d::BoolDistribution) = rand(rng) <= d.p
+rand(rng::AbstractRNG, s::Random.SamplerTrivial{BoolDistribution}) = rand(rng) <= s[].p
 
 Base.iterate(d::BoolDistribution) = ((d.p, true), true)
 function Base.iterate(d::BoolDistribution, state::Bool)
diff --git a/src/distributions/deterministic.jl b/src/distributions/deterministic.jl
index cdcb205..d044397 100644
--- a/src/distributions/deterministic.jl
+++ b/src/distributions/deterministic.jl
@@ -9,8 +9,7 @@ struct Deterministic{T}
     val::T
 end
 
-rand(rng::AbstractRNG, d::Deterministic) = d.val
-rand(d::Deterministic) = d.val
+rand(rng::AbstractRNG, s::Random.SamplerTrivial{<:Deterministic}) = s[].val
 support(d::Deterministic) = (d.val,)
 sampletype(::Type{Deterministic{T}}) where T = T
 Random.gentype(::Type{Deterministic{T}}) where T = T
diff --git a/src/distributions/sparse_cat.jl b/src/distributions/sparse_cat.jl
index fc80287..29c9960 100644
--- a/src/distributions/sparse_cat.jl
+++ b/src/distributions/sparse_cat.jl
@@ -12,7 +12,8 @@ struct SparseCat{V, P}
     probs::P
 end
 
-function rand(rng::AbstractRNG, d::SparseCat)
+function rand(rng::AbstractRNG, s::Random.SamplerTrivial{<:SparseCat})
+    d = s[]
     r = sum(d.probs)*rand(rng)
     tot = zero(eltype(d.probs))
     for (v, p) in d
diff --git a/src/distributions/uniform.jl b/src/distributions/uniform.jl
index 5c56473..44e464e 100644
--- a/src/distributions/uniform.jl
+++ b/src/distributions/uniform.jl
@@ -56,7 +56,7 @@ Random.gentype(::Type{UnsafeUniform{T}}) where T = eltype(T)
 
 const Unif = Union{Uniform,UnsafeUniform}
 
-rand(rng::AbstractRNG, d::Unif) = rand(rng, support(d))
+rand(rng::AbstractRNG, s::Random.SamplerTrivial{<:Unif}) = rand(rng, support(s[]))
 mean(d::Unif) = mean(support(d))
 mode(d::Unif) = mode(support(d))
 
diff --git a/test/test_bool.jl b/test/test_bool.jl
index d151947..60a3a69 100644
--- a/test/test_bool.jl
+++ b/test/test_bool.jl
@@ -15,5 +15,8 @@ let
   # testing hash
   @test hash(d) == hash(d2)
 
+  @test rand(d) in [true, false]
+  @test all(x in [true, false] for x in rand(d,2))
+
   @test sprint((io,d)->show(io,MIME("text/plain"),d), d) == sprint((io,d)->showdistribution(io,d,title="BoolDistribution"), d)
 end
diff --git a/test/test_deterministic.jl b/test/test_deterministic.jl
index de2c2ec..1f1c5a7 100644
--- a/test/test_deterministic.jl
+++ b/test/test_deterministic.jl
@@ -1,7 +1,9 @@
 d = Deterministic(1)
 
 @test rand(d) == 1
+@test all(rand(d, 2) .== 1)
 @test rand(MersenneTwister(4), d) == 1
+@test all(rand(MersenneTwister(4), d, 2) .== 1)
 @test collect(support(d)) == [1]
 @test Random.gentype(d) == typeof(1)
 @test Random.gentype(typeof(d)) == typeof(1)
diff --git a/test/test_implicit.jl b/test/test_implicit.jl
index b93b0b8..7513186 100644
--- a/test/test_implicit.jl
+++ b/test/test_implicit.jl
@@ -10,6 +10,7 @@ m = IMDP()
 
 td = transition(m, 1.0, 1)
 @test 2 <= rand(td) <= 3
+@test all(2 <= sp <= 3 for sp in rand(td, 2))
 
 impldist(m) = ImplicitDistribution(m) do m, rng
     return rand(rng, m)
diff --git a/test/test_sparse_cat.jl b/test/test_sparse_cat.jl
index 9d6cd81..172af69 100644
--- a/test/test_sparse_cat.jl
+++ b/test/test_sparse_cat.jl
@@ -42,6 +42,13 @@ let
     @test isapprox(count(samples.==:c)/N, pdf(d,:c), atol=0.005)
     @test isapprox(count(samples.==:d)/N, pdf(d,:d), atol=0.005)
 
+    # rand(::SparseCat, ::Integer)
+    samples = rand(d, N)
+    @test isapprox(count(samples.==:a)/N, pdf(d,:a), atol=0.005)
+    @test isapprox(count(samples.==:b)/N, pdf(d,:b), atol=0.005)
+    @test isapprox(count(samples.==:c)/N, pdf(d,:c), atol=0.005)
+    @test isapprox(count(samples.==:d)/N, pdf(d,:d), atol=0.005)
+
     @test_throws ErrorException rand(Random.GLOBAL_RNG, SparseCat([1], [0.0]))
 
     @test sprint((io,d)->show(io,MIME("text/plain"),d), d) == sprint((io,d)->showdistribution(io,d,title="SparseCat distribution"), d)
diff --git a/test/test_uniform.jl b/test/test_uniform.jl
index df39602..8e382c2 100644
--- a/test/test_uniform.jl
+++ b/test/test_uniform.jl
@@ -2,6 +2,7 @@ d = Uniform([1])
 
 @test rand(d) == 1
 @test rand(MersenneTwister(4), d) == 1
+@test all(rand(MersenneTwister(4), d, 2) .== 1)
 @test collect(support(d)) == [1]
 @test Random.gentype(d) == typeof(1)
 @test Random.gentype(typeof(d)) == typeof(1)
@@ -16,6 +17,7 @@ d = Uniform([1])
 
 d2 = Uniform((:symbol,))
 @test rand(d2) == :symbol
+@test all(rand(d2, 2) .== :symbol)
 @test rand(MersenneTwister(4), d2) == :symbol
 @test collect(support(d2)) == [:symbol]
 @test Random.gentype(d2) == typeof(:symbol)
@@ -34,6 +36,7 @@ d3 = UnsafeUniform([1])
 
 @test rand(d3) == 1
 @test rand(MersenneTwister(4), d3) == 1
+@test all(rand(MersenneTwister(4), d3, 2) .== 1)
 @test collect(support(d3)) == [1]
 @test Random.gentype(d3) == typeof(1)
 @test Random.gentype(typeof(d3)) == typeof(1)
@@ -48,6 +51,7 @@ d3 = UnsafeUniform([1])
 d4 = UnsafeUniform((:symbol,))
 @test rand(d4) == :symbol
 @test rand(MersenneTwister(4), d4) == :symbol
+@test all(rand(MersenneTwister(4), d4, 2) .== :symbol)
 @test collect(support(d4)) == [:symbol]
 @test Random.gentype(d4) == typeof(:symbol)
 @test Random.gentype(typeof(d4)) == typeof(:symbol)