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13 December, 05:52

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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  1. 13 December, 05:57
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    Mihai

    Step-by-step explanation:

    Numere prime de la 1 la 27

    2, 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 27

    1, 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
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