Example 1
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][br][*]Assign variable names to the events and state what you need to find, using conditional probability.[br][*]Show the sample space.[br][*]Identify the outcomes in the events.[br][*]Identify the outcomes in the events [math]A∩B[/math] and [math]B[/math].[br][*]Find [math]P(A∩B)[/math] and [math]P(B)[/math].[br][*]Find [math]P(A \vert B)[/math].[br][*]Verify your answer.[br][*]Interpret your answer in terms of a uniform probability model.[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com]www.walch.com[/url] for more information.