Exploring Conditional Probability Concepts

What does the notation P(A|B) represent in conditional probability?

• Probability of A given B has occurred

• Probability of neither A nor B occurring

• Probability of A and B both occurring

• Probability of B given A has occurred

What does the straight line in the notation P(A|B) signify in conditional probability?

• Addition

• Given that

• Multiplication

• None of the above

In the context of cupcakes, if 12 cupcakes have blue frosting, how many are vanilla if 5 are known to be vanilla?

• None of the above

• 7 out of 12

• 12 out of 5

• 5 out of 12

In the cupcake example, what total is used to calculate the probability of vanilla given blue?

• Total number of blue cupcakes

• Total number of chocolate cupcakes

• Total number of cupcakes

• Total number of vanilla cupcakes

What is the probability of finding a chocolate cupcake with blue frosting if there are 13 chocolate cupcakes and 7 have blue frosting?

• 7 out of 13

• 6 out of 13

• 13 out of 7

• None of these

Using a Venn diagram, how many students have both a cell phone and an iPod?

• 4 students

• 10 students

• 25 students

• 15 students

How many students do not have either a cell phone or an iPod according to the Venn diagram?

• 15 students

• 25 students

• 10 students

• 6 students

What is the reduced fraction representing the probability of having an iPod given having a cell phone?

• 3/5

• 1/5

• 2/5

• 4/5

If 21 students are left after excluding those with iPods, how many of these have a cell phone?

• 5 students

• 6 students

• 15 students

• 10 students

What is the probability of a cell phone given no iPod in its simplest form?

• 2/5

• 7/5

• 5/7

• 3/7