Answer:
The probability the student studies Art and Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
<em>A</em> = a students studies Art
<em>B</em> = a students studies Biology
The information provided is:
N = 42
n (A ∩ B) = 9
n (A' ∩ B) = 10
n (A' ∩ B') = 7
Then the number of students who study Art but not Biology is:
n (A ∩ B') = N - n (A ∩ B) - n (A' ∩ B) - n (A' ∩ B')
The number of students who study Art but not Biology is 16.
Compute the probability the student studies Art and Biology as follows:
Thus, the probability the student studies Art and Biology is 0.2143.