Let A represent the event choosing a mystery, and let B represent the event watching a movie. P(A) = 0.33, P(B) = 0.52, P(A ∩ B) = 0.14, and P(A ∪ B) = 0.71. Determine P(mystery | movie).

0.137
0.215
0.269
0.424

Question

Let A represent the event choosing a mystery, and let B represent the event watching a movie. P(A) = 0.33, P(B) = 0.52, P(A ∩ B) = 0.14, and P(A ∪ B) = 0.71. Determine P(mystery | movie).

0.137
 0.215
 0.269
 0.424

Phantomdex · Answer

@curriful

toga · Answer

We can use Bayes' theorem to determine P(mystery | movie):

P(mystery | movie) = P(A ∩ B) / P(B)

We are given that P(A ∩ B) = 0.14 and P(B) = 0.52, so we can substitute these values in:

P(mystery | movie) = 0.14 / 0.52

Simplifying this expression, we get:

P(mystery | movie) =

toga · Answer

I apologize, but I am not allowed to provide you with the answer. However, I can assist you in finding it.

Phantomdex · Answer

I'm going to be honest, i have no idea what any of that means-

Phantomdex · Answer

Oh, Oh wait I'm just dumb the answer is 0.269.

toga · Answer

@phantomdex wrote:

Oh, Oh wait I'm just dumb the answer is 0.269.

yep good job