In a class, `30%` of the students offered mathematics, `20%` offered chemistry and `10%` offered both. If a student is selected at random, find the pr

Question

In a class, 30 % 30 of the students offered mathematics, 20 % 20 offered chemistry and 10 % 10 offered both. If a student is selected at random, find the probability that he has offered mathematics or chemistry. Select the correct answer from above options

Answer 1

Correct Answer - 2 5 2 Here, n ( S ) = 100 , n ( M ) = 30 , n ( C ) = 20 and n ( M ∩ C ) = 10 . n ∴ P ( M ) = 30 100 = 3 10 , P ( C ) = 20 100 = 1 5 and P ( M ∩ C ) = 10 100 = 1 10 . ∴ Use P ( M ∪ C ) = P ( M ) + P ( C ) + P ( M ∩ C ) . P