A denote the event 'student is female' and let B denote the event 'student is French'. In a class of 100 students suppose 60 are French, and suppose that 10 of the French students are females. Find…

The correct answer is C. 1/6. Since 10 out of 100 students are both French and female, then P(AandB)=10100 Also. 60 out of the 100 students are French, so So the required probability is: P(A|B)=P(AandB)P(B)=10/10060/100=16

Statistics and Probability

Question

A denote the event 'student is female' and let B denote the event 'student is French'. In a class of 100 students suppose 60 are French, and suppose that 10 of the French students are females. Find the probability that if I pick a French student, it will be a girl, that is, find P(A|B).

Options

A1/3
B2/3
C1/6
D2/6

How the community answered

(18 responses)

A
6% (1)
B
17% (3)
C
72% (13)
D
6% (1)

Explanation

Since 10 out of 100 students are both French and female, then P(AandB)=10100 Also. 60 out of the 100 students are French, so So the required probability is: P(A|B)=P(AandB)P(B)=10/10060/100=16

Topics

#conditional probability#probability calculation#Bayes theorem#event probability

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