Parking tokens at a Bhopal mall carry serial numbers from 100 to 999, and the machine hands out any one of them with equal chance. A driver takes a token. What is the probability that the serial number on it is a multiple of 50?

Question

Accepted Answer

1/50. The serial numbers 100 to 999 give 900 equally likely outcomes. The multiples of 50 among them are 100, 150, 200, ... , 950, which is 950 - 100/50 + 1 = 18 numbers. P = 18/900 = 1/50. 1/45 counts 20 multiples by wrongly including 50 and 1000; 1/25 counts the multiples of 25 instead; 1/100 counts only the multiples of 100.

Parking tokens at a Bhopal mall carry serial numbers from 100 to 999, and the machine hands out any one of them with equal chance. A driver takes a token. What is the probability that the serial number on it is a multiple of 50?

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