Question 276406
Become familiar with Venn diagrams and this will become much simpler.
In the intersection of the 2 circles put 1/8.
1/6 - 1/8 = 1/24 put this in the semicircle to left of 1/8
1/3 is the union of the 2 circles.
1/24 + 1/8 + x = 1/3
x=1/6 put this in the semicircle right of 1/8
1/8 + 1/6 = 7/24 P(B)
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Ed
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{{{drawing( 300, 300, -5, 5, -5, 5,
  rectangle( -4.5, 4.5, 4.5, -3.5 ),
red( circle(- 1.5, 0, 2.5) ),
  green( circle( 2, 0, 2.25 ) ))}}}