Question 1149242
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In this problem, the event A is that  "a student owns a credit card".
The probability of this event is  P(A) = 0.43.


The event B is that  "a student is a freshman".
The probability of this event is  P(B) = 0.6.


Also, you are given that  P(A &#8745; B) = 0.21.  
Here (A &#8745; B) is the intersection of events A and B,  "that a student owns a credit card and is a freshman".


They ask you about the <U>conditional probability</U>  P( A | B).



By the definition,  the <U>conditional probability</U>  P( A | B)  is this ratio


    P( A | B) =  P(A &#8745; B) / P(B).     (1)


Now, when you know everything, all you need to do is to substitute the given data into the formula (1)


    P( A | B) = {{{0.21/0.6}}} = {{{21/60}}} = {{{7/20}}} = {{{35/100}}} = 0.35 = 35%.    <U>ANSWER</U>
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Solved, completed and explained.