. In a class, 50% of the students study physics and Biology. 70% of the students study physics. What is the probability of a student studying Biology given he/she is already studying physics?
P(A) = 0.7 = the probability of students study physics
P(B) = the probability of students study biology
The probability of students study physics and biology
"P(A \\cap B) = 0.5"
The probability of a student studying Biology given he/she is already studying physics:
"P(B|A) = \\frac{P(B \\cap A)}{P(A)} \\\\\n\n= \\frac{0.5}{0.7} \\\\\n\n= 0.7142"
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