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HW 8.5 Conditional Probability

Last updated over 3 years ago
25 questions
1

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

  • 6. A person got water, what is the probability they got pizza
  • 7. Probability a person got a hot dog but no drink
  • 5. Probability that a person gets both a hot dog and soda
  • 3. Probability a person doesn't get a drink
  • 8. Given a person got soda, probability of getting a hot dog
  • 1. Probability that a person gets a hot dog
  • 2. Probability that a person gets no food given they get a soda
  • 4. If a person has gotten pizza, probability they get water
  • Conditional
  • Not Conditional
1

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

1

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

1

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

1

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

1

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

1

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

1

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

1

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

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.
1

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.

1

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

1

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

1

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

1

P(female) =
____/_____

1

P(master’s degree) =
____/_____

1

P(female and a doctorate) =
____/_____

1

P(male and bachelor‘s) =
____/_____

2

P(master’s or professional) =

2

P(female or bachelor’s) =

2

P(female or master’s) =

2

P(bachelor’s or male) =

1

P(female | doctorate) =

1

P(master’s | male) =

1

P(professional | male) =
_____/_______

1

P(male | bachelor’s) =