Conditional Probability

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Presentation transcript:

Conditional Probability

Conditional Probability Contains a condition that limits (or restricts) the sample space for an event

Conditional Probability Written as “The probability of event B, given event A”

Conditional Probability Formula

The table shows the results of a class survey, “Do you own a pet?” Find P(own a pet | female). Yes No Female 8 6 Male 5 7

The table shows the results of a class survey, “Did you wash the dishes last night?” Find P(wash the dishes | male) Yes No Female 7 6 Male 8

Using the data in the table, find the probability (as a percent) that a sample of not recycled waste was plastic. P(plastic | non-recycled) Recycled Not Recycled Paper 34.9 48.9 Metal 6.5 10.1 Glass 2.9 9.1 Plastic 1.1 20.4 Other 15.3 67.8