Given the event "a die lands with a 6 on top", which of the following is the complement of this event? choose the correct answer below.
a. the number of times the die lands with a 6 on top in n throws of the die
b. the die lands with a 3 on the top
c. the die lands with a 6 on the bottom
d. the die lands with a 1, 2, 3, 4, or 5 on top

The die lands with a 1, 2, 3, 4, or 5 on top ⇒ answer D

Step-by-step explanation:

- Complementary events are two outcomes of an event that are the

 only two possible outcomes

- The Complement Rule states that the sum of the probabilities of

  an event and its complement must equal 1

- P(A) + P(A') = 1

- Lets solve the problem

- The event A is:

  " a die lands with a 6 on top "

∴ P(A) =

∵ P(A) + P(A') = 1

∴ + P(A') = 1

- Subtract from both sides

∴ P(A') =

∵ The die has six numbers from 1 to 6

∴ The other numbers than 6 are 1 , 2 , 3 , 4 and 5

∴ The complement of event A is:

   " A die lands with 1 , 2 , 3 , 4 or 5 "

* The complement of the event is:

 The die lands with a 1, 2, 3, 4, or 5 on top

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step-by-step explanation:

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