Are these two events independent and why?

In a class of 30 students, there are 17 girls and 13 boys. Five are A students, and three of these students are girls. If a student is chosen at random, what is the probability of choosing a girl or an A student?





The answer is 19/30





But I don't care the answer,my question is:





Event A=choosing a girl


Event B=choosing an A student





Are these two events independent and why?


(I already figure out they are not mutually exclusive because these two events can occur at the same time)





Thank you.

Are these two events independent and why?
P(A)=17/30


P(B)=5/30=1/6.





If A and are independent P(A|B)=P(A)





P(A|B)=P(A intersection B)/P(B)





P(A intersection B)=3/30


P(A|B)=(3/30)/(5/30)=3/5





P(A|B) not equal P(A) ==%26gt; A y B are not independent.
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