Question
Of the donuts recently sold at Daisy Donuts, 6 had sprinkles and 8 did not. Considering this data, how many of the next 7 donuts sold would you expect to have sprinkles?
donuts
donuts
Answers
GPT 3.5
Based on the ratio of donuts with sprinkles to donuts without sprinkles in the recently sold batch (6 sprinkles to 8 without sprinkles), we can calculate the expected number of donuts with sprinkles in the next 7 donuts sold as follows:
Probability of donut having sprinkles = Number of donuts with sprinkles / Total number of donuts = 6 / (6 + 8) = 6 / 14 = 3 / 7
Expected number of donuts with sprinkles in the next 7 donuts = Probability of donut having sprinkles * Total number of donuts = (3 / 7) * 7 = 3
Therefore, we would expect 3 of the next 7 donuts sold at Daisy Donuts to have sprinkles.
Probability of donut having sprinkles = Number of donuts with sprinkles / Total number of donuts = 6 / (6 + 8) = 6 / 14 = 3 / 7
Expected number of donuts with sprinkles in the next 7 donuts = Probability of donut having sprinkles * Total number of donuts = (3 / 7) * 7 = 3
Therefore, we would expect 3 of the next 7 donuts sold at Daisy Donuts to have sprinkles.