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What is the probability that you choose either a number divisible by 4 or a number divisible by 3?
Wiki User
∙ 8y ago
The chances of you finding a number divisible by 4 is 1/4 (because out of every four numbers, 1 of them is divisible by 4), and a 1/3 chance of finding a number divisible by 3 (see above). If we add them up, we get the chance, 1/4+1/3= 3/12+4/12.
Now this would be saying that finding numbers that would be divisible by 12 (the ones divisible by 3 AND 4) would count twice, and we don't want that. To counter this, we have to subtract the chances of you finding a multiple of 12 once (so that the chances of finding the multiple of 12 would count ONCE).
This translates to 3/12+4/12-1/12=6/12=1/2.
:)
Wiki User
∙ 8y ago
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