Will medal+fan for best response , no direct answers give the explanation. Determine the sum of the given probabilities. Are the events complementary?

P(gold) = 4/11 ; P(silver) = 7/11

Question

Will medal+fan for best response , no direct answers give the explanation. Determine the sum of the given probabilities. Are the events complementary? 


P(gold) = 4/11  ; P(silver) =  7/11

rainbow_rocks03 · Answer

@BloomLocke367 @Ilovecake @Legends @LegendarySadist

rainbow_rocks03 · Answer

combining in such a way as to enhance or emphasize the qualities of each other or another.

rainbow_rocks03 · Answer

So I have to combine Gold & Silver , right?

anonymous · Answer

I suppose so, they wrote this one out really odd.

rainbow_rocks03 · Answer

let me put the answer choices

rainbow_rocks03 · Answer

A.
 1 The events are complementary.
 
 B.
 1 The events are not complementary.
 
 C.
  1/2 The events are complementary.
 
 D.
   1/2The events are not complementary.

thomas5267 · Answer

Two events are complementary if and only if either of the event must occur, i.e. P(A)+P(B)=1.

rainbow_rocks03 · Answer

I'm confused. :(

rainbow_rocks03 · Answer

I don't understand what you wrote.

thomas5267 · Answer

Put it this way.  Two events are complementary if and only if the following is true:
If A happens then B doesn't happen.
If B happens then A doesn't happen.
Either A or B must happen.
Mathematically, P(A)+P(B)=1.

rainbow_rocks03 · Answer

oh

rainbow_rocks03 · Answer

so my answer is A. Is that correct?

rainbow_rocks03 · Answer

@thomas5267

thomas5267 · Answer

Yes.

rainbow_rocks03 · Answer

thx for the help.

thomas5267 · Answer

I should make this more clear.  Two events are complementary if and only if ALL of the following are true:
If A happens then B doesn't happen.
If B happens then A doesn't happen.
Either A or B must happen.

Mathematically, P(A)+P(B)=1.