Question

No lançamento simultâneo de dois dados não viciados qual a probabilidade de sair números primos em ambos. *

25%

35%

36%

20%


​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{ S = \{\:\{1,1\} , \{1,2\} , \{2,1\} , \{1,3\} , \{3,1\} , \{2,2\} , \{4,1\} , \{1,4\} , \{3,2\} , \{2,3\} , \{1,5\} , ...}$

$\mathsf{...\: \{5,1\} , \{2,4\} , \{4,2\} , \{3,3\} , \{1,6\} , \{6,1\} , \{4,3\}, \{3,4\} , \{5,2\} , \{2,5\} , \{4,4\} , \{5,3\}...}$

$\mathsf{...\: \{3,5\} , \{6,2\} , \{2,6\} , \{5,4\} , \{4,5\} , \{6,3\} , \{3,6\} , \{5,5\} , \{6,4\} , \{4,6\} , \{6,5\} , \{5,6\}...}$

$\mathsf{...\: \{6,6\} \:\}}$

$\mathsf{A = \{ \{2,2\},\{2,3\},\{3,2\},\{3,3\},\{5,2\},\{2,5\},\{5,3\},\{3,5\},\{5,5\} \:\} }$

$\mathsf{P(A) = \dfrac{n(A)}{n(S)}}$

$\mathsf{P(A) = \dfrac{9}{36}}$

$\boxed{\boxed{\mathsf{P(A) = \dfrac{1}{4} = 25\%}}}\leftarrow\textsf{letra A}$