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Tommy has 30 marbles in a bag. If 1/2 are blue, 1/3 are red, and 1/6 are yellow and he draws out a marble, records the color, returns it to the bag and repeats the process 10 times,

a) approximately how many times should he expect to draw a blue marble?

b) Suppose Tommy did the same experiment 100 times, approximately how many times would Tommy expect to draw a blue marble?

c) Which of the two approximations is likely to be the most accurate? Justify your answer.

 Dec 29, 2023
edited by sugabreaddoughman  Dec 29, 2023
 #2
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you could say that 1/2*10 is 5 for a, 1/2*100 is 50 for b, and for c, more tests gives a higher accuracy rate, so most likely b - although there is no guarentee, because as you know, low chance doesn't mean impossible!

 Dec 29, 2023

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