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In a class of 29 students, 19 are female and 14 have an A in the class. There are 8students who are male and do not have an A in the class. What is the probability thata student does not have an A given that the student is female?

Respuesta :

SOLUTION

The total number of females =

[tex]19[/tex]

if 14 have an A in the class, the number of students without A is:

[tex]29-14=15[/tex]

8 male students do not have an A, therefore the number of female students without an A is:

[tex]15-8=7[/tex]

The probability that a student does not have an A given that the student is female can be calculated thus:

[tex]\frac{\text{Total number of female students without an A}}{Total\text{ number of female students in the class}}[/tex][tex]\frac{7}{19}[/tex]

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