SOLUTION: How would you work the problem- what is the probability that a number selected at random from the firs 600 positive integers is divisible by 6 or 9?
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Question 579978: How would you work the problem- what is the probability that a number selected at random from the firs 600 positive integers is divisible by 6 or 9?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Inclusion-exclusion principle. (let n be a number between 1 and 600 inclusive):
 = P(6|n) + P(9|n) - P(18|n))
Note that P(6|n and 9|n) is equivalent to saying P(18|n) since LCM(6,9) = 18.
Out of the integers between 1 and 600 inclusive, there are 100 integers divisible by 6, 66 divisible by 9, and 33 divisible by 18. Therefore,
 = \frac{100}{600} + \frac{66}{600} - \frac{33}{100})
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