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PONBallfordM89
21.04.2020 •
Mathematics
O urna contine bile numerotate de la 1 la 27. Se extrage la intamplare o bila; se considera castigator Mihai, daca iese o bila numerotata cu un numar prim , respectiv Andrei daca iese o bila numerotata cu un patrat sau cub perfect. Care din cei doi copii are sanse mai mari de a castiga ?
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Ответ:
Mihai
Step-by-step explanation:
Numere prime de la 1 la 272, 3, 5, 7, 11, 13, 17, 19, 23
avem 9 numere prime
P(Mihai) = 9×100/27 = 900/27 = 33,(3) %
Patrate perfecte de la 1 la 271, 4, 9, 16, 25
Cuburi perfecte de la 1 la 27
1, 8, 27
avem 7 numere patrate si cuburi perfecte (1 se repeta)
P(Andrei) = 7×100/27 = 700/27 = 25,92 %
Observam ca Mihai are probabilitatea mai mare deci el este castigatorul
Ответ: