Ashthegreat
10.10.2019 •
Mathematics
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
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Ответ:
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
Ответ:
42
Step-by-step explanation:
7x = ? if x equals 6
So 7 x 6 = 42
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)