A number is chosen at random from the first 75 natural numbers. Find the probability that it is either a multiple of 5 or a multiple of 7.
Explanation:
Number of multiples of 5 between 1 and 75 = 15
Number of multiples of 7 between 1 and 75 = 10
Number of multiples of 35 between 1 and 75 = 2
∴ Number of multiples of 5 or 7 between 1 and 75 = 15 + 10 – 2 = 23.
∴ Required probability = 23/75
Hence, option (c).
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