Question

jorge joga dois dados comuns e soma os valores. qual a probabilidade de a soma ser igual a 5?

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\sf \Omega = \{\{1,1\} , \{1,2\} , \{2,1\} , \{1,3\} , \{3,1\} , \{2,2\} , \{4,1\} , \{1,4\} , \{3,2\} ,$

$\{2,3\} , \{1,5\} , \{5,1\} , \{2,4\} , \{4,2\} , \{3,3\} , \{1,6\} , \{6,1\} , \{4,3\} , \{3,4\} , \{5,2\} ,$

$\{2,5\} , \{4,4\} , \{5,3\} , \{3,5\} , \{6,2\} , \{2,6\} , \{5,4\} , \{4,5\} , \{6,3\} , \{3,6\} , \{5,5\}$

$, \{6,4\} , \{4,6\} , \{6,5\} , \{5,6\} , \{6,6\}\}$

$\sf A = \{\{2,3\} , \{3,2\} , \{4,1\} , \{1,4\} \}$

$\sf p(A) = \dfrac{n(A)}{n(\Omega)}$

$\sf p(A) = \dfrac{4}{36} = \dfrac{1}{9}$

$\boxed{\boxed{\sf p(A) = 11,11\%}}$