Alexis rolls a pair of number cubes. What is the probability that both numbers are odd if their sum is [math]6[/math]? Interpret your answer in terms of a uniform probability model.
[list=1] [*]Assign variable names to the events and state what you need to find, using conditional probability. [*]Show the sample space. [*]Identify the outcomes in the events. [*]Identify the outcomes in the events [math]A∩B[/math] and [math]B[/math]. [*]Find [math]P(A∩ B)[/math] and [math]P(B)[/math]. [*]Find [math]P(A \vert B)[/math]. [*]Verify your answer. [*]Interpret your answer in terms of a uniform probability model. [/list]