From a set of 100 cards numbered 1 to 100, one card is drawn at random

1.	From a set of 100 cards numbered 1 to 100, one card is drawn at random. Find the probability that the number on the card is divisible by 6 or 8, but not by 24.
Answer» Number divisible by 6 from 1 to 100 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96 Number divisible by 8 from 1 to 100 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 ∴ Number divisible by 6 or 8 but not by 24 from 1 to 100 = 6, 8, 12, 16, 18, 30, 32, 36, 40, 42, 54, 56, 60, 64, 66, 78, 80, 84, 88, 90. ∴ Required probability = \(\frac{20}{100}\) = \(\frac{1}{5}\)

From a set of 100 cards numbered 1 to 100, one card is drawn at random. Find the probability that the number on the card is divisible by 6 or 8, but not by 24.

Answer»

Number divisible by 6 from 1 to 100 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96

Number divisible by 8 from 1 to 100 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

∴ Number divisible by 6 or 8 but not by 24 from 1 to 100 = 6, 8, 12, 16, 18, 30, 32, 36, 40, 42, 54, 56, 60, 64, 66, 78, 80, 84, 88, 90.

∴ Required probability = \(\frac{20}{100}\) = \(\frac{1}{5}\)

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From a set of 100 cards numbered 1 to 100, one card is drawn at random. Find the probability that the number on the card is divisible by 6 or 8, but not by 24.

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