Question

Find out the birthday (month and day but not year) of a randomly chosen person. What is the sample space of the experiment? How many outcomes are in the event that the person is born in July?

Answer 1

The sample space of the experiment is the set of all possible birthdays (month and day) of a randomly chosen person. The event that the person is born in July has 31 outcomes.

Step-by-step explanation:

The sample space of the experiment is the set of all possible outcomes. In this case, the sample space consists of all the possible birthdays (month and day) of a randomly chosen person. There are 12 possible months and 31 possible days in each month, so the sample space has a total of 12 * 31 = 372 outcomes.

The event that the person is born in July is a subset of the sample space, and it consists of all the outcomes (birthdays) that fall in the month of July. Since July has 31 days, the event has 31 outcomes.