SOLUTION: there are 12 small marbles and 10 large marbles.the large marbles are 1.2 times larger than the small marbles.what is the probability of picking a small marble randomly?

Question 1160709: there are 12 small marbles and 10 large marbles.the large marbles are 1.2 times larger than the small marbles.what is the probability of picking a small marble randomly?
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

The problem is not defined well enough.

For many ways of choosing the marble, the size of the marble doesn't matter. There are 12 small marbles out of a total of 22; the probability of selecting a small marble is 12/22 = 6/11.

If the intent of the problem is that the larger size of the larger marbles makes it more likely that a large marble will be chosen, then the precise way in which the marble is chosen will affect the probability, so the question can't be answered.

Note further that, if the size of the marble is supposed to be important, the problem is further unclear as to whether the large marbles are really 1.2 times LARGER THAN the smaller marbles (i.e., 2.2 times AS LARGE AS), or whether the larger marbles are in fact 1.2 times AS LARGE AS the smaller marbles; hence again the question could not be answered.

So the only way to give a meaningful answer to the question as stated is to ignore the different sizes of the marbles and say that the probability of picking a small marble is 12/22 = 6/11.

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