Given: Math students = 30%
Chemistry Students = 20%
Math & Chemistry both = 10%
To Find: P(Math or Chemistry)
Now, P(Math) = 30% = \(\frac{30}{100}\) = 0.30
P(Chemistry) 30% = \(\frac{20}{100}\) = 0.20
P(Math ∩ Chemistry) = 10% = \(\frac{10}{100}\) = 0.10
We know that,
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
Therefore,
P(Math ∪ Chemistry) = 0.30 + 0.20 – 0.10 = 0.40
Hence, number of students studying math or chemistry are 40%.