Respuesta :
Answer:
The required probability is 0.13
Step-by-step explanation:
Consider the provided information.
It is give that 17% of the student are enrolled in a psychology course.
Let P(A) is the student enrolled in psychology course.
Thus. P(A)=17%=0.17
28 % are enrolled in a foreign language course.
Let P(B) represents the student enrolled in foreign language course.
Thus. P(B)=28%=0.28
32 % are enrolled in either a psychology course or a foreign language course or both.
That means P(A∪B) = 32% = 0.32
We need to find the probability that a student chosen at random from this school will be enrolled in both a foreign language course and a psychology course.
That means we need to find P(A∩B).
P(A∪B) = P(A)+P(B)-P(A∩B)
0.32 = 0.17 + 0.28 - P(A∩B)
0.32 = 0.45 - P(A∩B)
P(A∩B) = 0.13
The required probability is 0.13
The required probability will be D. 0.13
Based on the information given,
- Let P(A) is the student enrolled in psychology course. P(A)=17%=0.17
- Let P(B) represents the students that are enrolled in foreign language course. P(B)=28%=0.28
Since we are told that 32% of the students are enrolled in either a psychology course or a foreign language course or both. This will be P(A∪B) = 32% = 0.32
Then, we need to find P(A∩B) and.this goes thus:
P(A∪B) = P(A)+P(B)-P(A∩B)
0.32 = 0.17 + 0.28 - P(A∩B)
Therefore, 0.32 = 0.45 - P(A∩B)
P(A∩B) = 0.45 - 0.32 = 0.13
Therefore, the required probability is 0.13
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