Respuesta :
The probability that someone that gets an A actually studied for the Psychology test is 0.15 or 15% if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Let A = the students get an A
Let B = the student's studied for the psychology test
We know that probability:
P(B) = 60% = 0.60 and
P(A/B) = 25% = 0.25
We know that:
[tex]\rm P(A/B) = \frac{P(A\cap B)}{P(B)} = 0.25[/tex]
Now the probability that someone that gets an A actually studied for the Psychology test:
P(A∩B) = P(B) ×0.25
P(A∩B) = 0.60×0.25
P(A∩B) = 0.15
Thus, the probability that someone that gets an A actually studied for the Psychology test is 0.15 if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.
Learn more about the probability here:
brainly.com/question/11234923
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