two fair number cubes are rolled. the table below shows the possible outcomes for each number cube and there sum.what is the theoretical probability of rolling two numbers with a sum of 11?

two fair number cubes are rolled the table below shows the possible outcomes for each number cube and there sumwhat is the theoretical probability of rolling tw class=

Respuesta :

Given:

Two fair number of cubes are rolled.

The number of total outcomes = 36

Required:

Find the probability of rolling two numbers with a sum of 11.

Explanation:

The number of total outcomes = 36

The number of possible outcomes when sum is 11 = 2

The probability of an event is given by the formula:

[tex]P=\frac{Number\text{ of possible outcones}}{Total\text{ outcomes}}[/tex][tex]\begin{gathered} P(11)=\frac{2}{36} \\ P(11)=\frac{1}{18} \\ P(11)=0.0555 \end{gathered}[/tex]

Final Answer:

The theoretical probability of rolling two numbers with a sum of 11 is 0.0555 or 5.555%.