Final answer:
The probability that a randomly selected child from the day care center will be seven years old is 0.4, or 40%, calculated by dividing the number of seven-year-olds (6) by the total number of children (15).
Step-by-step explanation:
The question asks about determining the probability that a randomly selected child from a day care center will be seven years old. In the day care center, there are 15 children in total, and out of those, 6 are seven-year-olds. To calculate the probability, we use the formula:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes).
In this case, the favorable outcomes are the seven-year-olds, which we have 6 of, and the total number of possible outcomes is the total number of children, which is 15. So,
Probability = 6 / 15 = 0.4 or 40%.
Therefore, the probability that a randomly selected child from the daycare will be a seven-year-old is 0.4, or 40%.