Question

Which of the following represents P(B|A)?

A. https://i.imgur.com/OXci63e.jpg

B. https://i.imgur.com/L3gN7xr.jpg

C. https://i.imgur.com/bYknc5k.jpg

D. https://i.imgur.com/WONpmWn.jpg

Answer 1

@SmokeyBrown

Answer 2

Sorry, remind me what the | symbol between A and B means? Is it Union or Intersection or something else?

Answer 3

something else

Answer 4

How many elements are in the sample space for flipping a coin 8 times?

A. 4 elements


B. 8 elements


C. 16 elements


D. 64 elements

Answer 5

Well, for the first one, I think diagram A makes sense; it represents the probability of both A and B occurring simultaneously.
For the second one, there are 2 possibilities for each coin flip. So, 2^8 should give us our answer. That would be 256, though, so I'm not sure about any of the answers given.

Answer 6

But, maybe the question only means the number of heads and tails, not the order they appear in? In that case, I think 64 would be right

Answer 7

Events A and B are not independent. If the P(A) = 0.2 and the P(B) = 0.6, then the P(A and B) =

A. 0.4


B. 0.8


C. Not enough Info


D. 0.12

Answer 8

Since the probabilities of both events are not independent, the probability of both occurring at the same time is the individual probabilities multiplied together. So, that'd be 0.2*0.6

Answer 9

It was wrong for the 3rd one

Answer 10

Oh, sorry, you multiply the probabilities together if they are independent. If they aren't independent, you add them together. So, I think 0.8 would be the answer.

Answer 11

P(A∣B) = P(A and B)/P(B) is true for both independent and dependent events.



A. True
B. False

Answer 12

I'm honestly not sure about this one, sorry

Answer 13

If events A and B are independent and P(A) = 0.4, then P(A|B) = 0.4.

Question 5 options:

True
False

Answer 14

I think this one is false, because independent events are multiplied together to find their intersection