According to a certain country's department of education 39.6% of 3-year olds are enrolled in day care. What is the probability that a randomly selected 3-year old is enrolled in day care?

P = .396

According to a certain​ country's department of​ education,

39.939.9​%
of​ 3-year-olds are enrolled in day care. What is the probability that a randomly selected​ 3-year-old is enrolled in day​ care?

To find the probability, divide the number of 3-year olds enrolled in day care by the total number of 3-year olds. The given information tells us that 39.6% of 3-year olds are enrolled in day care. Therefore, the probability that a randomly selected 3-year old is enrolled in day care is 39.6% or 0.396.

To calculate the probability that a randomly selected 3-year old is enrolled in day care, we need to divide the number of 3-year olds enrolled in day care by the total number of 3-year olds.

First, we should understand that the percentage given (39.6%) represents the proportion of 3-year olds enrolled in day care out of the total population.

Let's assume that the total population of 3-year olds is represented by the variable "T". The number of 3-year olds enrolled in day care can be represented by the variable "D".

The formula to calculate the probability is:
Probability = Number of 3-year olds enrolled in day care / Total number of 3-year olds

So in this case, the probability can be calculated as:
Probability = D / T

However, since we are given the percentage directly, we need to convert it into a decimal by dividing it by 100:

Probability = (39.6 / 100) = 0.396

Therefore, the probability that a randomly selected 3-year old is enrolled in day care is 0.396, or 39.6%.