Question

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?

Answer 1

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.

Step-by-step 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:

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

Final Answer:

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