A grocery store employee counted how many cartons of each flavor of yogurt were sold yesterday.
blueberry 5
raspberry 5
lemon 8
What is the experimental probability that the next carton of yogurt sold will be lemon?
The experimental probability is the ratio of the number of times the event of interest (selling a lemon carton of yogurt) occurred to the total number of trials (selling all cartons of yogurt). In this case, the number of times a lemon carton was sold is 8, which is the frequency of the lemon flavor. The total number of cartons sold is 5 + 5 + 8 = 18. Therefore, the experimental probability that the next carton of yogurt sold will be lemon is:
8/18 = 4/9 or approximately 0.44
So, there is a 44% chance that the next carton sold will be lemon-flavored yogurt, based on the observed data from yesterday's sales.
To find the experimental probability of the next carton of yogurt being lemon, we need to calculate the ratio of lemon yogurt cartons to the total number of yogurt cartons sold.
Step 1: Find the total number of yogurt cartons sold.
Total number of yogurt cartons sold = blueberry + raspberry + lemon
Total number of yogurt cartons sold = 5 + 5 + 8 = 18
Step 2: Find the number of lemon yogurt cartons sold.
Number of lemon yogurt cartons sold = 8
Step 3: Find the experimental probability.
Experimental probability of the next carton being lemon = Number of lemon yogurt cartons sold / Total number of yogurt cartons sold
Experimental probability of the next carton being lemon = 8 / 18 = 4/9
Therefore, the experimental probability that the next carton of yogurt sold will be lemon is 4/9.
To find the experimental probability, you need to calculate the ratio of the number of favorable outcomes (lemon yogurt cartons sold) to the total number of outcomes (all the yogurt cartons sold).
In this case, the employee counted the number of cartons of each flavor sold yesterday. From the given information, we know that 5 cartons of blueberry yogurt were sold, 5 cartons of raspberry yogurt were sold, and 8 cartons of lemon yogurt were sold.
To find the total number of outcomes, you add up the number of cartons of each flavor:
Total number of outcomes = 5 (blueberry) + 5 (raspberry) + 8 (lemon) = 18
Now, to find the number of favorable outcomes (lemon yogurt cartons sold), you only consider the number of lemon cartons:
Number of favorable outcomes = 8 (lemon)
Finally, you can calculate the experimental probability by dividing the number of favorable outcomes by the total number of outcomes:
Experimental probability = Number of favorable outcomes / Total number of outcomes
So, the experimental probability that the next carton of yogurt sold will be lemon is:
Experimental probability = 8 / 18 = 4 / 9