You select a marble without looking and then put it back. If you do this 12 times, what is the best prediction possible for the number of times you will pick an orange marble?

(There are 11 purple marbles and 1 orange marble)

3 answers

The best prediction possible for the number of times you will pick an orange marble is 1 out of 12 times. This is because there is only 1 orange marble out of a total of 12 marbles, so statistically speaking, you are most likely to pick it once out of the 12 times.
Morning Donuts recently sold 14 donuts, of which 7 were cake donuts. Considering this data, how many of the next 6 donuts sold would you expect to be cake donuts?
Based on the data provided, 7 out of the 14 donuts sold were cake donuts. This means that the proportion of cake donuts sold is 7/14 = 1/2.

If we assume that this proportion remains consistent, we can expect that half of the next 6 donuts sold would be cake donuts.

Therefore, you would expect 3 out of the next 6 donuts sold to be cake donuts.