Question

Find the probability.When using a single die, what is the probability of rolling a number less than or equal to 4?A) 2/3B) 1/2C) 4D) 3

Answer 1

Answer: $Pr(less\text{ than or equal to 4\rparen = }\frac{2}{3}\text{ \lparen option A\rparen}$Explanation:

Given:

A single die

To find:

the probability of rolling a number less than or equal to 4

The sample space in rolling a single die,= {1, 2, 3, 4, 5, 6}

The sample space for a number less than or equal to 4 = {1, 2, 3, 4}

To get the probability of rolling a number less than or equal to 4, we will apply the formula:

$Pr(less\text{ than or equal to 4\rparen = }\frac{number\text{ of the sample sapace less than or equal to 4 }}{number\text{ of }Total\text{ sample space}}$$\begin{gathered} number\text{ of sample space \le4 = 4} \\ number\text{ of total sample space = 6} \\ \\ Pr(less\text{ than or equal to 4\rparen = }\frac{4}{6} \\ \\ Pr(less\text{ than or equal to 4\rparen= }\frac{2}{3}\text{ \lparen option A\rparen} \end{gathered}$