Question

Determine the sum of the given probabilities. Are the events complementary?


P(A) = ; P(B) =



A.
5/14 The events are complementary.


B.
5/14 The events are not complementary.


C.
5/7 The events are complementary.


D.
5/7 The events are not complementary.

Answer 1

@TeenWolfGirl

Answer 2

@JTijerina

Answer 3

sorry i can't help:(

Answer 4

Are there supposed to be pictures or some expression after P(A) and P(B)? You haven't provided us with the given probabilities.

Answer 5

sorry one min

Answer 6

P(A)= 3/7; P(B)= 2/7

Answer 7

@sleepyjess

Answer 8

Oh, sorry, I am horrible at probabilities.

Answer 9

@aaliyahfairgood

Answer 10

okay :(

Answer 11

can anyone help medal and fan!!!

Answer 12

I think it is choice D. If we add the probabilities, we get:
\[\text{P(A) + P(B)} = \frac{3}{7} + \frac{2}{7} = \frac{5}{7} \neq 1\]
If two events are complementary, then that means the sum of their probabilities should equal 1 (we say that the complement of event A is 1 - P(B) or that the complement of event B is 1 - P(A)).
Now from adding the two probabilities, we see that the sum doesn't equal to 1, thus we can conclude that the two events are not complementary.

Answer 13

okay, thank you!