Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# 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