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1-(1/2)*{1-(1/3)*[1-(1/4)*(1-1/5)]}
=1-(1/2)*{1-(1/3)*[1-(1/4)*(4/5)]}
=1-(1/2)*{1-(1/3)*[1-1/5]}
=1-(1/2)*{1-(1/3)*[4/5]}
=1-(1/2)*{1-4/15}
=1-(1/2)*(11/15)
=1-11/30
=19/30
=1-(1/2)*{1-(1/3)*[1-(1/4)*(4/5)]}
=1-(1/2)*{1-(1/3)*[1-1/5]}
=1-(1/2)*{1-(1/3)*[4/5]}
=1-(1/2)*{1-4/15}
=1-(1/2)*(11/15)
=1-11/30
=19/30
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