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

$\frac{1}{6}$

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

$\frac{2}{6}=\frac{1}{3}=0.33$

33%