Problem C. 1297. (May 2015)

C. 1297. The main attractions of the show in a circus are the performances of a lion and an elephant. However, these performances cannot be accomplished if the animals are not in the mood. The lion appears on stage in \(\displaystyle \frac{4}{5}\) of the shows, and the elephant only appears in \(\displaystyle \frac{3}{4}\) of the shows. The circus is so lucky as to be able to show at least one of the animals in \(\displaystyle 99\%\) of the shows. What is the probability of both animals appearing in a show?

(5 pont)

Deadline expired on June 10, 2015.

Statistics:

92 students sent a solution.
5 points:	66 students.
4 points:	17 students.
1 point:	4 students.
0 point:	5 students.

Problems in Mathematics of KöMaL, May 2015