A survey of TV viewing habits of 50 men and 50 women found the following information: Of the 50 men, 20 prefer watching baseball and 30 prefer football. Of the 50 women, 25 prefer watching baseball and 25 prefer football. Construct a data table for this data and answer this question: Out of the entire survey, what is the probability of choosing a woman who prefers football?
To construct a data table for this data, we can use the following format:
| | Baseball | Football | Total |
|--------|----------|----------|-------|
| Men | 20 | 30 | 50 |
| Women | 25 | 25 | 50 |
| Total | 45 | 55 | 100 |
Next, let's calculate the probability of choosing a woman who prefers football.
To find the probability, we need to divide the number of women who prefer football by the total number of people in the survey. In this case, there are 25 women who prefer football, and the total number of people in the survey is 100 (50 men + 50 women).
Therefore, the probability of choosing a woman who prefers football is:
P(Woman and Football) = Number of women who prefer football / Total number of people in the survey
= 25 / 100
= 1/4
= 0.25
So, the probability of choosing a woman who prefers football is 0.25 or 25%.