Campbell's New Soup Selection Process: A Journey of Possibilities

What is the probability of selecting at least one Chunky soup out of the 4 soups?

Assuming each soup has an equal chance of being randomly selected, what is the probability that the 4 soups selected will be: At least one Chunky soup?

Probability of Selecting Chunky Soup

The probability that the 4 soups selected will be at least one Chunky soup is approximately 1.1667.

Exploring the Possibilities

When Campbell's set out to test 12 new soups for possible production, they embarked on a journey of flavor and innovation. Among these new soups were 3 Chunky soups, 4 Healthy Request soups, and 5 Select Harvest soups. With the goal of producing 4 new soups, each with an equal chance of being selected, the probability of certain outcomes needed to be calculated.

To find the probability of selecting at least one Chunky soup out of the 4 soups, we need to consider the total number of combinations of soups and the favorable outcomes of including at least one Chunky soup.

The total number of possible outcomes for selecting 4 soups can be calculated by considering the combinations from each soup category. While there are 3 Chunky soups, 4 Healthy Request soups, and 5 Select Harvest soups, the total number of combinations of 4 soups results in a total of 6 possible outcomes.

When focusing on the favorable outcomes of selecting at least one Chunky soup, the calculations reveal that there are 7 favorable outcomes. These include combinations with one, two, or all three Chunky soups. By dividing the number of favorable outcomes by the total number of possible outcomes, we arrive at a probability of approximately 1.1667.

This journey of exploration and calculation not only showcases the intricacies of probability but also highlights the flavorful possibilities that Campbell's new soups hold. With each selection, a world of taste and satisfaction awaits, making the process of soup selection an adventure in itself.