Question

Eugenia rolls a six-sided number cube. What is the probability that she gets anumber less than 5?

Answer 1

GIVEN:

Eugenia rolls a six-sided number cube.

Required;

What is the probability that she gets a number less than 5?

Step-by-step solution;

For a six-sided number cube, that is, a fair die, the total possible outcomes are 6 sides.

The probability of each side of the number cube is 1 out of 6.

Also, the probability of any given event is shown by the formula below;

`P[Event]=\frac{number\text{ }of\text{ }required\text{ }outcomes}{number\text{ }of\text{ }all\text{ }possible\text{ }outcomes}`

For the number cube, we have four numbers less than 5. The probability of these would be as follows;

`\begin{gathered} P[1]=(1)/(6) \\ \\ P[2]=(1)/(6) \\ \\ P[3]=(1)/(6) \\ \\ P[4]=(1)/(6) \end{gathered}`

Therefore;

For a number less than 5;

`\begin{gathered} P[<5]=(1)/(6)+(1)/(6)+(1)/(6)+(1)/(6) \\ \\ P[<5]=(4)/(6) \\ \\ P[<5]=(2)/(3) \end{gathered}`

Therefore,

ANSWER:

Option A is the correct answer

`A:\text{ }(2)/(3)`