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Suponha que vale 022log18p97 onde o primeiro membro desta igualdade é um logaritmo de base 7. Então, p é a probabilidade de: a) ob...

Suponha que vale 022log18p97 onde o primeiro membro desta igualdade é um logaritmo de base 7. Então, p é a probabilidade de:


a) obter uma carta “sete”, fazendo uma retirada aleatória de uma carta de um baralho de 52 cartas.
b) conseguir uma soma diferente de 9, usando os números das faces voltadas para cima de dois dados perfeitos, após o lançamento simultâneo dos mesmos.
c) conseguir um número que começa com 2 e termina com 7, escolhendo-o aleatoriamente, na lista de todos os números naturais de 4 algarismos distintos, formados com 2, 3, 4, 6, 7 e 9.
d) obter cara, 2 vezes, em 3 lançamentos sucessivos de uma moeda não viciada.
e) conseguir a soma 7, usando os números das faces, voltadas para cima, de dois dados perfeitos, após o lançamento simultâneo dos mesmos.

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Álgebra - Probabilidade - Definição - [Difícil] - [35 Questões]
22 pág.

Enem Universidade Estácio de SáUniversidade Estácio de Sá

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A resposta correta é a letra b) conseguir uma soma diferente de 9, usando os números das faces voltadas para cima de dois dados perfeitos, após o lançamento simultâneo dos mesmos. Para resolver a equação 022log18p97, podemos reescrevê-la como: log7(18^(2/7) * p^(1/7) * 97^(1/7)) = 0 Em seguida, podemos resolver para p: 18^(2/7) * p^(1/7) * 97^(1/7) = 7^0 p^(1/7) = (7^0) / (18^(2/7) * 97^(1/7)) p = [(7^0) / (18^(2/7) * 97^(1/7))]^7 p = 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