SOLUTION: A lollipop is chosen at random from a bucket of lollipops. The probability that the lollipop chosen will be grape flavored is 3/4, which of the following could not be the number of

Question 1141563: A lollipop is chosen at random from a bucket of lollipops. The probability that the lollipop chosen will be grape flavored is 3/4, which of the following could not be the number of lollipops in the bucket.
A)16
B)28
C)49
D)144
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

3/4 of the number of lollipops are grape flavored in order for the 
probability of choosing one to be 3/4.

There must be a whole number of lollipops.

3/4 of 16 is 12, a whole number, so there could be 16 lollipops.
3/4 of 28 is 21, a whole number, so there could be 28 lollipops.
3/4 of 49 is 36.75, NOT a whole number, so there could NOT be 49 lollipops.
3/4 of 144 is 108, a whole number, so there could be 144 lollipops.

Edwin

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