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The probability that a company executive will travel by plane is (2/5) and that he will travel by train is (1/3). Find the probability of his travelling by plane or train.

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Let P(A) is the probability that a company executive will travel by plane and P(B) is the probability that he will travel by train.

Then,

P(A) = 2/5 and P(B) = 1/3

As he cannot be travel by plane and train at the same time, so P(A and B) = 0

Using formula, P(A or B) = P(A) + P(B) – P(A and B)

P(A or B) = 2/5 + 1/3 – 0

= 11/15

Therefore, probability of a company executive will be travelling by plane or train= P(A or B) = 11/15.

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