Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence(ACMSP246)

[/fusion_text][fusion_text]LO: To construct a two/three-step experiment and assign probabilities.

Know:

• How to construct an experiment
• The definition of with and without replacement
• Probability is a scale from 0 to 1.
• Determine the probability of events.
• The definition of independent and dependent events.

Understand:

• that the probability of events can be calculated due to it’s circumstances.

Do:

• I can construct a sample space for a two/three-step chance experiment and assign probabilities.

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Independent Events

To get the probability of landing 3 heads, you just multiply the probability of landing heads three times. (0.5 x 0.5 x 0.5) = 0.125 or 1/8.

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Dependent Events

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So with dependent events, the outcome of the first event changes the chances or probability of the second event. Another way of thinking about it is that the probability or chance of the second event depends on the outcome of the first event.

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Tree Diagrams

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