Need Homework Help-Probabilities (Conditionals)

<p>The question is:</p>

<p>For mutually exclusive events A, B, and C,
P(A)=1/7
P(B)=2/7
P(C)=4/7
P(E|A)=3/5
P(E|B)=2/5
P(E|C)=1/5</p>

<p>Find P(A|E), P(B|E), P(C|E)</p>

<p>I've spent an hour on this and just cant figure it out
Could someone please solve it and teach me?</p>