Question

Write the sample space for an experiment where a coin is tossed and a 6 sided die is rolled.

Choose the correct answer below.
A. S=(H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)
B. S=(H, T, 1, 2, 3, 4, 5, 6)
C. S=(H1, H2, H3, H4, H5, H6}
D. S=(HH, HT, TH, TT, 1, 2, 3, 4)

Answer 1

The correct sample space for tossing a coin and rolling a 6-sided die is a combination of two possible coin outcomes (heads or tails) and six possible die outcomes (1 through 6), resulting in S={(H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)} which contains 12 unique outcomes.

Step-by-step explanation:

The correct sample space for an experiment where a coin is tossed and a 6 sided die is rolled is given by the combination of outcomes from both the coin and the die. Since there are two possible outcomes when flipping a coin (heads or tails) and six possible outcomes when rolling a die (1 through 6), we multiply the two numbers of outcomes to find the total number of unique combinations. In this case, we have 2 coin outcomes times 6 die outcomes, resulting in a sample space of 12 possible outcomes.

Therefore, the sample space S can be written as S={(H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)}. Each element of the sample space represents a different outcome, with the first character representing the coin toss (H for heads, T for tails) and the second character representing the outcome of the die roll (1-6).