Question

Describe the sample space for the indicated experiment,

A coin is tossed and a die is thrown.

Answer 1

Required sample space = S 

= {(x, y): x ∈ {H, T}, y ∈ {1, 2, 3, 4, 5, 6}} 

= {(H, 1), (H ,2),(H ,3), (H ,4) (H ,5), (H ,6), (T, 1)(T, 2)(T, 3), (T, 4), (T, 5), (T, 6)} 

= {H₁, H₂, H₃, H₄, H₅, H₆, T₁, T₂, T₃, T₄, T₅, T₆}