PROBABILIDADE

INTRODUÇÃO
[justify]A teoria da probabilidade é o campo da Matemática que estuda experimentos ou fenômenos aleatórios e através dela é possível analisar as chances de um determinado evento ocorrer.[br]Quando calculamos a probabilidade, estamos associando um grau de confiança na ocorrência dos resultados possíveis de experimentos, cujos resultados não podem ser determinados antecipadamente. Probabilidade é a medida da chance de algo acontecer.[br]Desta forma, o cálculo da probabilidade associa a ocorrência de um resultado a um valor que varia de 0 a 1 e, quanto mais próximo de 1 estiver o resultado, maior é a certeza da sua ocorrência.[br]Por exemplo, podemos calcular a probabilidade de uma pessoa comprar um bilhete da loteria premiado ou conhecer as chances de um casal ter 5 filhos, todos meninos.[/justify]
EXPERIMENTO ALEATÓRIO
[justify]Um experimento aleatório é aquele que não é possível conhecer qual resultado será encontrado antes de realizá-lo.[br]Os acontecimentos deste tipo quando repetidos nas mesmas condições, podem dar resultados diferentes e essa inconstância é atribuída ao acaso.[br]Um exemplo de experimento aleatório é jogar um dado não viciado (dado que apresenta uma distribuição homogênea de massa) para o alto. Ao cair, não é possível prever com total certeza qual das 6 faces estará voltada para cima.[/justify]
FÓRMULA DA PROBABILIDADE
[justify]Em um fenômeno aleatório, as possibilidades de ocorrência de um evento são igualmente prováveis.[br]Sendo assim, podemos encontrar a probabilidade de ocorrer um determinado resultado através da divisão entre o número de eventos favoráveis e o número total de resultados possíveis:[br][br][img width=363,height=44]data:image/png;base64,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[/img][br]Sendo:[br][b]P(A):[/b] probabilidade da ocorrência de um evento A.[br][b]n(A):[/b] número de casos favoráveis ou, que nos interessam (evento A).[br][b]n(Ω):[/b] número total de casos possíveis.[br]O resultado calculado também é conhecido como probabilidade teórica.[br][br][b]OBS: [/b]Para expressar a probabilidade na forma de porcentagem, basta multiplicar o resultado por 100.[/justify]
EXEMPLO 1
[b]Q1: [/b]Se lançarmos um dado perfeito, qual a probabilidade de sair um número menor que 3?[br][br][b]Resolução[/b]: [br][br]Sendo o dado perfeito, todas as 6 faces têm a mesma chance de caírem voltadas para cima. Vamos então, aplicar a fórmula da probabilidade.[br]Para isso, devemos considerar que temos 6 casos possíveis (1, 2, 3, 4, 5, 6) e que o evento "sair um número menor que 3" tem 2 possibilidades, ou seja, sair o número 1 ou 2. Assim, temos:[br][br][img width=100,height=111]data:image/png;base64,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[/img][br][br]Para responder na forma de uma porcentagem, basta multiplicar por 100.[br][img width=179,height=17]data:image/png;base64,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[/img][br]Portanto, a probabilidade de sair um número menor que 3 é de 33%.
TESTE 1
O baralho de cartas é formado por 52 cartas divididas em quatro naipes (copas, paus, ouros e espadas) sendo 13 de cada naipe. Dessa forma, se retirar uma carta ao acaso, qual a probabilidade de sair uma carta do naipe de paus?

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