Given the event​ "a die lands with a 6 on​ top", which of the following is the complement of this​ event?

Question

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Part 1
Choose the correct answer below.
A.
The die lands with a 3 on the top
B.
The die lands with a​ 1, 2,​ 3, 4, or 5 on top
C.
The die lands with a 6 on the bottom
D.
The number of times the die lands with a 6 on top in n throws of the die

Answer 1

The complement of an event includes all outcomes that are not part of the event itself. In this case, the event is "a die lands with a 6 on top." The outcomes that are not this event are when the die lands with a 1, 2, 3, 4, or 5 on top.

Given the options:

A. The die lands with a 3 on the top
B. The die lands with a 1, 2, 3, 4, or 5 on top
C. The die lands with a 6 on the bottom
D. The number of times the die lands with a 6 on top in n throws of the die

The correct answer is B. The die lands with a 1, 2, 3, 4, or 5 on top.