Question

What is the complement of rolling a number greater than 4 on both of the dice?

Answer 1

Let:

A = Rolling a number greater than 4 on both dices

The complement is:

A' = Not rolling a number greater then 4 on both dices

The probability is given by:

m/n

Where:

m = Number of favourables outcomes

n = Total number of outcomes

so:

`P(A)=(4)/(36)=(1)/(9)`

The complement can be calculated as:

`\begin{gathered} P(A^(\prime))=1-P(A) \\ P(A^(\prime))=1-(1)/(9)=(8)/(9)\approx0.889 \end{gathered}`

Answer:

Approximately 88.89%