A bin contains red balls and purple balls. A ball is selected at random and then placed back in the bin. The results are recorded after 10 trials, 50 trials, and 200 trials. The results are recorded in the table.
Based on the table, how many times can you expect that a purple ball will be selected in 400 tries?
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5:10 = ?%
14:50 = ?%
48:200 = ?%
According to that trend, what would be an estimated guess of the amount of times purple balls would be chosen from the bin after 500 draws?
umm? wait what?
Since the first 10 or 50 trials are part of the first 200 trials, the first two data points aren't that important. What is important is that you've observed 48 purples in the first 200 trials. Given that information, your best estimate for the number of purples you will see in the next 200 trials should be the same.
so 10 div by 50? or 48 div 200
48 divided by 200
√ thank you!
Yes, that is our best estimate of the proportion of purples given what we've observed.