Asix-sided number cube is rolled twice. what is the number of possible outcomes ?
a. 6
b. 12
c. 36
d. 216

The number of possible outcomes on rolling a cube twice is:

36

The possible number of outcomes of an experiment are the number of elements in the sample space.

The sample space of rolling a cube twice is given as:

(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)

Hence, there are 36 elements in the sample space.

Hence,  the number of possible outcomes on rolling a cube twice is:

36

step-by-step explanation: