Trevor tosses a coin 3 times. Consider the following events. [math]A[/math]: The first toss is heads. [math]B[/math]: The second toss is heads. [math]C[/math]: There are exactly 2 consecutive heads. For each of the following pairs of events, determine if the events are independent. [list] [*][math]A[/math] and [math]B[/math] (This is [math]A∩B[/math] in set notation.) [*][math]A[/math] and [math]C[/math] (This is [math]A∩C[/math] in set notation.) [*][math]B[/math] and [math]C[/math] (This is [math]B∩C[/math] in set notation.) [/list]
[list=1] [*]List the sample space. [*]Use the sample space to determine the relevant probabilities. [*]Use the definition of independence to determine if the events are independent in each specified pair. [/list] This applet is provided by Walch Education as supplemental material for the [i]CCGPS Analytic Geometry[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.