# 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