Probability that the chosen student is male and over 21?

[lea8802]

In our college it is known that 0.75 of the students are under 21 years of age. Also 0.6 of the students are female and .5 of all students are female and under 21. If one student is selcted at randowm, what is the probability that this student is male and over 21?

 

[galactus]

\(\displaystyle \L\\P(F)=0.60, \;\ P'(F)=male=0.40, \;\ P(under \;\ 21)=0.75,\\ \;\ P'(under \;\ 21)=21 \;\ or \;\ over=0.25\\, \;\ P'(F )P'(under \;\ 21)=P(male \;\ and \;\ over \;\ 21) = ?\)

 

[lea8802]

Answer

I came up with .15 is that correct?