10. Find the theoretical probability of rolling a number less than 4 on a standard number cube

Answer: 1/2

Explanation:

Here's the event space

E = {1,2,3}

this represents all of the desired events we want, which is rolling less than a 4 on a standard number cube (aka a die). There are A = 3 items in this set.

The sample space is the set of all possible outcomes, namely,

S = {1,2,3,4,5,6}

which is all of the values on the die. There are B = 6 items in this set.

Divide the values of A and B to get the theoretical probability:

P (rolling a number less than 4) = A/B = 3/6 = 1/2

1/2

Step-by-step explanation:

The reason being, a standard # cube only has 6 sides. There are only 3 options less than 4, so it would give you 3/6 which simplifies to 1/2