1 .
You are given that:
- The course COMP 9999 runs over a period of one year, starting on January 1 and ending on December 31. There is one lecture every day; thus, the total number of lectures is 365.
- Dania and Nick take this course. Dania's birthday is on November 19. Nick's birthday is on December 3.
- Professor G. Ruesome teaches the course. Professor Ruesome decides to have 20 quizzes during the year. For this, he chooses a uniformly random subset of 20 days; the quizzes will be on the 20 chosen days. (It is possible that there is a quiz on January 1.)
- A = "There is a quiz on Dania's birthday and there is a quiz on Nick's birthday".
(a)
$1 - \left. {363 \choose 20} \middle/ {365 \choose 20} \right.$
(b)
None of the above.
(c)
$\left. {363 \choose 18} \middle/ {365 \choose 20} \right.$
(d)
$\left. {365 \choose 18} \middle/ {365 \choose 20} \right.$