A coin is tossed,and then a six-sided die is rolled.Which of the following defines the sample space S?
A)S = {H,T}
B)S = {1,2,3,4,5,6}
C)S = {H,T,1,2,3,4,5,6}
D)S = {H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}

Question

Quizplus · Accepted Answer

The sample space should include all possible outcomes of both the coin toss and the die roll. Since the coin can land as heads (H) or tails (T) and the die can land on any number from 1 to 6, the combined outcomes are represented as H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6.

A Coin Is Tossed,and Then a Six-Sided Die Is Rolled