Question

VALE 10 PONTOOOOOOOSSSS

Dois dados sao lançados e observa-se a soma de suas faces.
a- quais são os possíveis resultados para esta soma?

b- qual é a probabilidade de cada resultado possível?

Answer 1

(a) Seja o par (x,y) as possibilidades dos de ocorrer esse resultado, então

(1,1)=2

(1,2);(2,1)=3

(1,3);(3,1);(2,2)=4

(1,4);(4,1);(2,3);(3,2)=5

(1,5);(5,1);(2,4);(4,2);(3,3)=6

(1,6);(6,1);(2,5);(5,2);(4,3);(3,4)=7

(2,6);(6,2);(3,5);(5,3);(4,4)=8

(3,6);(6,3);(4,5);(5,4)=9

(4,6);(6,4);(5,5)=10

(6,5);(5,6)=11

(6,6)=12

(b)

(1,1)=2 => P=(1/6)(1/6)=1/36

(1,2);(2,1)=3 => P=(1/6)(1/6)+(1/6)(1/6)=2/36

(1,3);(3,1);(2,2)=4 => P=(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)=3/36

(1,4);(4,1);(2,3);(3,2)=5 => (1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)=4/36

(1,5);(5,1);(2,4);(4,2);(3,3)=6 =>(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)=5/36

(1,6);(6,1);(2,5);(5,2);(4,3);(3,4)=7 => (1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)=6/36

(2,6);(6,2);(3,5);(5,3);(4,4)=8 => (1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)=5/36

(3,6);(6,3);(4,5);(5,4)=9 => (1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)=4/36

(4,6);(6,4);(5,5)=10 => (1/6)(1/6)+(1/6)(1/6)+(1/6)(1/6)=3/36

(6,5);(5,6)=11 => (1/6)(1/6)+(1/6)(1/6)=2/36

(6,6)=12 => (1/6)(1/6)=1/36