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;

$\begin{gathered} P[1]=\frac{1}{6} \\ \\ P[2]=\frac{1}{6} \\ \\ P[3]=\frac{1}{6} \\ \\ P[4]=\frac{1}{6} \end{gathered}$

Therefore;

For a number less than 5;

$\begin{gathered} P[<5]=\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6} \\ \\ P[<5]=\frac{4}{6} \\ \\ P[<5]=\frac{2}{3} \end{gathered}$

Therefore,

ANSWER:

Option A is the correct answer

$A:\text{ }\frac{2}{3}$