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Question

A number is selected from the first 25 natural numbers. What is the probability that it would be divisible by 4 or 7 ?
  1. 125
  2. 925
  3. 914
  4. 611


Solution

The correct option is B 925
Let A be the event that the number selected would be divisible by 4.
B be the event that the selected number would be divisible by 7.
Then, AB denotes the event that the number would be divisible by 4 or 7.
Sample space S={1,2,3,4....25}
A={4,8,12,16,20,24}
B={7,14,21}
Since AB is a null set , A and B are mutually exclusive.
P(AB)=P(A)+P(B)P(AB)=625+325=925

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