Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is divisible by 4 or is greater than 25 and less than 30.

Question

Aileen Love

Mathematics

23 February, 07:43

Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is divisible by 4 or is greater than 25 and less than 30.

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Aditya Vazquez · Answer 1

A:4*7=28. so there are 7 multiples upto 30. P (A) = 7/30

B:26,27,28,29 i. e. 4 numbers satisfy the 2nd criteria. P (B) = 4/30

P (A∩B) = 1/30 (since 28 belongs to both A&B)

P (A∪B) = P (A) + P (B) - P (A∩B) = (7+4-1) / 30 = 1/3