Lesson 4.4 Content Check

Consider the following table with information about some of the students taking Statistics at Davenport High School.

Given that the student is a male what is the probability that the student works full time?

Give your answer as a decimal proportion, round to three places.

P(Full Time|MALE) =

Consider the following table with information about all of the students taking Statistics at Davenport High School.

What is the probability that the student is a female, given that the student is FULL-TIME?

Give your answer as a decimal proportion, keep all decimal places.

P(Female|Full Time) =

Consider the following table with information about all of the students taking Statistics at Davenport High School.

What is the probability that the student is full- time, given that the student is part-time?

Give your answer as a decimal proportion, keep all decimal places.

P(Full-time|Part -time) =

What is the probability that a randomly-selected person will prefer history, given that the person is an 8th grader?

Give your answer as a decimal proportion, round to three decimal places.

What is the probability that a randomly-selected person will be a 7th grader, given that the person prefers English?

Give your answer as a decimal proportion, round to three decimal places.

Are watching the ad online and planning a vacation to New York City independent?

Select the answer and the reason why below:

Determine the following conditional probabilities.

Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a face card, what is the probability of picking a RED card?

P(RED |FACE CARD) =

Give your answer as a decimal proportion, keep all decimal places.

Determine the following conditional probabilities.

Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a red card, what is the probability of picking a FACE card?

P(FACE |RED CARD) =

Give your answer as a decimal proportion, round to three decimal places.

Determine the following conditional probabilities.

Consider drawing 1 card from a standard deck of shuffled cards:

Hint: Spades are the upside down black hearts, there are 13 of each suit.

P(ODD|SPADE) =

For finding the # of odd cards: Use only cards with numbers on them (A, K, Q, J do not have numbers on them).

Give your answer as a decimal proportion, round to three decimal places.

Jenna made the following two-way table about the color and size of the marbles in a bag.

What is the probability that one of Jenna’s marbles is red, given that it is small?

Give your answer as a decimal proportion, round to three decimal places.

Use the information from above to answer: Are marble color and size independent?

Select the answer and the reason why below:

Use the table to answer the question.

Given the person is picking Chocolate, what is the probability the person is a teen?

Use the table to answer the question.

Given the person is picking Vanilla, what is the probability the person is a teen?

Use the table to answer the question.

Given the person is not picking either Chocolate or Vanilla, what is the probability the person is a teen?

Based on your answers to #14, 15 & 16, are being a teen and ice cream flavor preference independent?

Explain why or why not and the relationship if there is one.

In our school there are 1,208 students. 47% of the students are involved in Fine Arts, 62% are on a sports team and 21% do both.

Fill in the Venn Diagram to answer the question below. This is part of your points.

Hint: you will NOT enter 47 or 62 into the Venn diagram but you will use them to calculate the numbers.

If you are still confused, try setting up the two-way table in #19 first, then fill in the Venn Diagram.

What is the probability a student is in the arts but not sports?

Answer as a percent.

In our school there are 1,208 students. 47% of the students are involved in Fine Arts, 62% are on a sports team and 21% do both.

Use the 'show your work' section to set up the table using the numbers from the Venn Diagram. This is part of your points.

What is the probability a student plays sports given that he/she is in Arts?

Round your answer to three places past the decimal.

Using the table from #19...

What is the probability a student is in the arts given that he/she is in sports?

Round your answer to three places past the decimal.

What is the probability of a student being in fine arts OR sports?

Answer as a percent.

Hint: look back at the Venn Diagram.

What is the probability of a student NOT being in sports or fine arts?

Hint: check your Venn Diagram