Final answer:
To determine the probability that two people born in November have birthdays in the first half of the month, we find the probability for one person and square it since the selections are independent, leading to a 25% chance for both.
Step-by-step explanation:
The question asks us to calculate the probability that two people, both born in November, will have their birthdays in the first half of the month. Since November has 30 days, the first half of the month includes days 1 through 15. To find the probability that one person has a birthday on one of these days, we divide the number of favorable outcomes (15 days) by the number of possible outcomes (30 days), which is ½ or 0.5.
Since the two people are selected randomly and independently, we multiply the probability of the first person having a birthday in the first half by the probability of the second person also having a birthday in the first half. The calculation is 0.5 × 0.5 = 0.25, so the probability that both people have birthdays in the first half of November is 25%.
To find the probability that two people born in November have a birthday in the first half of the month, we need to consider the number of days in the first half of November. The first half of November consists of 15 days. Since there are 30 days in total in November, the probability of a person being born in the first half of the month is 15/30, which simplifies to 1/2 or 0.5.