Question 182410: A carnival games uses plastic ducks for players to pick. If people chose one with a colored dot, they would win, those with no colored dots would not. In observing 25 games, the results were as follows:
Blue was chosen 7 times or 7 out of 25 or .28 (28%)
Yellow was chosen 5 times or 5 out of 25 or .20 or (20%)
Red was chosen 4 times or 4 out of 25 meaning .16 or 16%
and finally ducks with no dots were chosen 9 out of 25 times or 36% of time...
that much I get, now the question asks...if there are 120 ducks in the game, based on the observations stated above, how many of each color of dot on the duck should there be?
I have tried to multiply each percentage (given above) by the total number of ducks i.e. P(yellow) is .20, so saying 120 * .20, but that gives me 33.6 ducks...well you can't have a percentage of a duck unless it is missing parts!
Can you please tell me slowly and clearly how I would solve the latter half of this problem as I think I am correct on the first part.
Thanks!!!
Answer by tvandenberg(45)   (Show Source):
You can put this solution on YOUR website! Many time with probability questions you do get non-whole answers when only whole ones are clearly correct. Unfortunately, depending on how your teacher is, they may want to you round, or you are good with keeping a non-whole number, so I can't speak for your teachers opinion. Generally I would round (and make sure the total sums to the 120 ducks), but most instructors do NOT prefer this.
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