Answer:
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) = [tex]\frac{1}{6}[/tex]
∵ P(A) + P(A') = 1
∴ [tex]\frac{1}{6}[/tex] + P(A') = 1
- Subtract [tex]\frac{1}{6}[/tex] from both sides
∴ P(A') = [tex]\frac{5}{6}[/tex]
∵ 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
