Answer: 50
Explanation: The experimental probability of an event is defined as the ratio of the number of times the event occurs to the total number of trials or occurrences. In this case, the event is the sale of a carrot cake, and the total number of trials is the sale of the last 12 cakes.
Since 6 out of the last 12 cakes sold were carrot cakes, the experimental probability of the next cake sold being a carrot cake is:
Experimental probability = Number of times event occurred / Total number of trials
Experimental probability = 6 / 12
Experimental probability = 0.5
To express the experimental probability as a percentage, we can multiply it by 100:
Experimental probability as a percentage = 0.5 x 100
Experimental probability as a percentage = 50%
Therefore, the experimental probability that the next cake sold at Grace's Cakes will be a carrot cake is 50%.