A middle school principal has 80 keys on her key chain to distribute to staff on the first day of school. Of these 80 keys, 60 open classroom doors, 40 open the door to the teachers' lounge, and 30 open classroom doors and the teachers' lounge. Using this information, answer each of the following questions.

Let CCC be the event that a randomly selected key opens a classroom and TTT be the event that a randomly selected key opens the teachers' lounge.

What is P(C)P(C)P, left parenthesis, C, right parenthesis, the probability that a key opens a classroom?

The table shows the age and finish time of ten runners in a half marathon. identify the outlier in this data set. drag into the table the ordered pair of the outlier and a reason why that point is an outlier.

Present age of man is 45 years, 5 years back his age was 4 times age of his son what is present age of his son?

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)