HW 8.5 Conditional Probability

Organize the following probilities into conditional and not conditional based on the following two-way table

Probability that a person gets a hot dog. (Give as a reduced fraction)

Probability that a person gets no food given they get a soda. (Give as a reduced fraction)

Probability a person doesn't get a drink. (Give as a reduced fraction)

If a person has gotten pizza, probability they get water. (Give as a reduced fraction)

Probability that a person gets both a hot dog and soda. (Give as a reduced fraction)

A person got water, what is the probability they got pizza. (Give as a reduced fraction)

Probability a person got a hot dog but no drink. (Give as a reduced fraction)

Given a person got soda, probability of getting a hot dog.

Draw a Venn diagram representing this scenario. In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities.

Use the Venn Diagram. What is the probability a student is in band but not sports?(Give as a reduced fraction)

Use the Venn Diagram. What is the probability a student is in neither?

Use the Venn Diagram. What is the probability of a student being in band OR sports?

P(female) =

____/_____

P(master’s degree) =

____/_____

P(female and a doctorate) =

____/_____

P(male and bachelor‘s) =

____/_____

P(master’s or professional) =

P(female or bachelor’s) =

P(female or master’s) =

P(bachelor’s or male) =

P(female | doctorate) =

P(master’s | male) =

P(professional | male) =

_____/_______

P(male | bachelor’s) =