Find the sample space of pieces of paper taken two at a time with the numbers 1-4 written on them.
A) [(1, 2),(1, 3),(1, 4),(3, 4) ]
B) [(1, 2),(1, 3),(1, 4),(2, 1),(2, 3),(2, 4),(3, 1),(3, 2),(3, 4),(4, 1),(4, 2),(4, 3) ]
C) [(1, 1),(2, 2),(3, 3),(4, 4) ]
D) [(1, 2),(1, 3),(1, 4),(2, 3),(2,4) ]
E) [(1, 2),(1, 3),(1, 4),(2, 3),(2, 4), (3, 4) ]

Question

Find the sample space of pieces of paper taken two at a time with the numbers 1-4 written on them.
A) [(1, 2),(1, 3),(1, 4),(3, 4) ]
B) [(1, 2),(1, 3),(1, 4),(2, 1),(2, 3),(2, 4),(3, 1),(3, 2),(3, 4),(4, 1),(4, 2),(4, 3) ]
C) [(1, 1),(2, 2),(3, 3),(4, 4) ]
D) [(1, 2),(1, 3),(1, 4),(2, 3),(2,4) ]
E) [(1, 2),(1, 3),(1, 4),(2, 3),(2, 4),  (3, 4) ]

Quizplus · Accepted Answer

The sample space of pieces of paper taken two at a time with the numbers 1-4 includes all possible pairs of numbers from 1 to 4. Option E lists all six possible pairs, while the other options are missing some pairs or include impossible duplicates. Therefore, option E is the best choice.

Find the Sample Space of Pieces of Paper Taken Two