Mathematical and Physical Journal
for High Schools
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Problem C. 914. (October 2007)

C. 914. According to the trainer of a football team, the probability of a player to score a goal with a penalty kick is 95%. What is the probability that exactly three misses the goal out of five players?

(5 pont)

Deadline expired on November 15, 2007.


Sorry, the solution is available only in Hungarian. Google translation

Megoldás:

p=\binom53\cdot(1-0,95)^3\cdot0,95^{5-3}=
10\cdot0,05^3\cdot0,95^2\approx0,0011.


Statistics:

384 students sent a solution.
5 points:200 students.
4 points:35 students.
3 points:76 students.
2 points:15 students.
1 point:14 students.
0 point:32 students.
Unfair, not evaluated:12 solutions.

Problems in Mathematics of KöMaL, October 2007