Answer :
Total applicants = 350
Total female that have a degree = 66
Probability = 66/350 = 33/175
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Answer: The probability of choose a female with a degree is 33/175.
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Total female that have a degree = 66
Probability = 66/350 = 33/175
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Answer: The probability of choose a female with a degree is 33/175.
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Answer: [tex]\dfrac{33}{79}[/tex]
Step-by-step explanation:
Let F= Applicants are Females.
G= Applicants have a graduate degree.
Given : Total applicants N= 350
Total applicants are females n(F)= 158
Number of applicants are females and have a graduate degree. n(F∩G)=66
Now, Probability that an applicant is female = [tex]P(F)=\dfrac{n(F)}{N}=\dfrac{158}{350}[/tex]
Probability that an applicant is female and have a graduate degree:
[tex]P(F\cap G)=\dfrac{n(F\cap G)}{N}\\\\=\dfrac{66}{350}[/tex]
Then, the probability that a randomly chosen applicant has a graduate degree, given that they are female :-
[tex]P(G|F)=\dfrac{P(F\cap G)}{P(F)}[/tex] [By conditional probability formula.]
[tex]P(G|F)=\dfrac{\dfrac{66}{350}}{\dfrac{158}{350}}\\\\=\dfrac{66}{158}\\\\=\dfrac{33}{79}[/tex]
Hence, the required answer = [tex]\dfrac{33}{79}[/tex]
