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प्रश्न
The probability that a person will travel by plane is 3/5 and that he will travel by trains is 1/4. What is the probability that he (she) will travel by plane or train?
उत्तर
We have two events such that
A = a person will travel by plane
and B = a person will travel by train.
i.e.
P (A ∩ B) = 0
By addition theorem, we have:
P (A ∪ B) = P(A) + P (B) - P (A ∩ B)
= \[\frac{3}{5} + \frac{1}{4} - 0 = \frac{12 + 5}{20} = \frac{17}{20}\]
Hence, required probability = \[\frac{17}{20}\]
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