Question

two un baised dice are thrown once. write all possible outcomes of this experiment. what is the probability that the sum of numbers on two dice is 1)equal to 8 . 2) is smaller than 5.​

Answer 1

Step-by-step explanation:

sum of 8 = (3,5) (5,3) (2,6) (6,2) (4,4)

probability = 5/36

sum is smaller than 5 = (1,1) (1,2) (1,3) (2,1) (2,2) (3,1)

probability = 6/36

= 1/2

Answer 2

Step-by-step explanation:

Let S be the sample space

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

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

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

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

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

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

n(S) =36

1) Let A be the event of getting sum equal to 8

A =(2,6) (3,5) (4,4) (5,3) (2,6)

n(A) =5

p(A) =n(A)/n(S) =5/36

2) Let B be the event of getting sum is smaller than 5

A =(1,1) (1,2) (1,3) (2,1) (2,2) (3,1)

n(B) =6

p(B) =n(B)/n(S) =6/36 =1/6