The percent of the class who voted for Math also voted for Science is 38.8%
Therefore,
1 = p(m) + p(s) - p(m ∩ s)
Hence,
p(m) = 45% = 0.45
p(s) = ?
p(m ∩ s) = 35% = 0.35
Therefore,
1 = 0.45 + p(s) - 0.35
1 - 0.45 + 0.35 = p(s)
p(s) = 0.9
Therefore,
p(m | s) = 0.35 / 0.9 = 0.38888888888 = 38.8%
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