Exercise · ZW-SAMPLE-SPACE-010 · ★★★ Advanced
Which statement about the sample space is correct?
Choose one option.
Show answer
- D. The same experiment can have different sample spaces depending on what is recorded
Explanation
With two coins one can record the sequence (4 elements) or only the number of heads (3 elements). The other statements are false.
Review the concept: Sample space
A sample space \(\Omega\) is the set of all possible outcomes \(\omega\) of a random experiment.
\[\Omega=\{\omega_1,\omega_2,\omega_3,\dots\}\]
More practice problems: sample space
- ZW-SAMPLE-SPACE-001 Two distinguishable coins are tossed and the result of each is recorded. How many elements does the…
- ZW-SAMPLE-SPACE-002 A six-sided die is rolled and the number shown is recorded. What is the sample space?
- ZW-SAMPLE-SPACE-003 Two distinguishable dice are rolled and the pair of numbers is recorded. How many outcomes does the…
- ZW-SAMPLE-SPACE-004 A coin is tossed three times and the sequence is recorded. How many elements does the sample space…
- ZW-SAMPLE-SPACE-005 Two dice are rolled and only the sum is recorded. How many elements does the sample space have?
- ZW-SAMPLE-SPACE-006 A coin is tossed until heads appears and the number of tosses is recorded. What is the sample space…
- ZW-SAMPLE-SPACE-007 The time, in minutes, until a bus arrives is measured. Which sample space is appropriate?
- ZW-SAMPLE-SPACE-008 A die and a coin are tossed and the pair (number, side) is recorded. How many elements does the sam…