Question

A number cube labeled 1-6 is rolled three times. What is the probability that the next roll will produce a number greater than 4.

Answer 1

the probability of getting one side by rolling the cube is given by

`(1)/(6)`

the probability of produce a number greter than 4 (5 or 6)

is 2 vs 4

2 of the 6 sides are greater than 4

4 of the 6 sides are not

then

the probability that the next roll will produce a number greater than 4 is given by

`(2)/(6)=(1)/(3)=0.33`

33%