Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem P. 4040. (January 2008)

P. 4040. Design a circuit using a battery of 6 V and several LED-s of different colours, whose forward voltages 2 V, 3 V, and 4 V voltages, and their current is 10 mA. The probability that resistor goes wrong in one year is 1% and the probability that a LED goes wrong in one year is 3%. What is the probability that the circuit operates without going wrong in the first year.

(4 pont)

Deadline expired on February 11, 2008.


Statistics:

42 students sent a solution.
4 points:Bartha Zsolt, Béres Bertold, Berta Katalin, Csató Bertalan, Fekete Gréta, Földes Imre, Gál Bálint, Harsányi Szabolcs, Hegyi Ádám, Kovács 888 Gábor, Kovács 915 István, Kungl 008 Ákos, Lászlóffy András, Lénárt Tamás, Lőrincz Dóra, Nagy 226 Ákos, Orosz Ákos, Patonay Gergely, Rárósi Dávid, Réti Dávid, Sós Attila Róbert, Tolner Ferenc, Tóth 123 László, Veres 001 Máté, Zsolczai Viktor.
3 points:Czinder Gábor, Horváth Attila, Lajtai Gergő, Lévai Tamás, Szük Dániel, Török Lajos, Vuchetich Bálint.
2 points:5 students.
1 point:2 students.
0 point:1 student.
Unfair, not evaluated:2 solutionss.

Problems in Physics of KöMaL, January 2008