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). Total of 14 Females. How many in this group own a pet? 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). Total of 15 males. How many in this group washed the dishes 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 | not-recycled). Total of not recycled 156.3. How many in this group waste was plastic? 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