Answers NY-Algebra II Term 2 HillcrestProbability and Two-Way Tables

Probability and Two-Way Tables Answers

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Information about the recycling drive at school is shown in the table. Let A be the event that the item pulled out of the recycling bin is a plastic bottle, and let B be the event that a tenth grader recycled that item.

A and B are independent events because P(A∣B) = P(A).

A and B are independent events because P(A∣B) = P(B).

A and B are not independent events because P(A∣B) ≠ P(A).

A and B are not independent events because P(A∣B) ≠ P(B).

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Information about the students at Jackson High School is shown in the table.

Out of the 352 eleventh graders at the school, 173 of them are girls.

Out of the 511 boys at the school, 150 of them are tenth graders.

Out of the 523 tenth graders at the school, 173 of them are boys.

Out of the 376 girls at the school, 182 of them are eleventh graders.

Find P(Y|B) from the information in the table.

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A survey was taken of children between the ages of 7 and 12. Let A be the event that the person rides the bus to school, and let B be the event that the person has 3 or more siblings.Which statement is true about whether A and B are independent events?

A and B are independent events because P(A∣B) = P(A) = 0.12.

A and B are independent events because P(A∣B) = P(A) = 0.25.

A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25.

A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25.

A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 45, 20, 25, 90. The third column is labeled Y with entries 30, 10, 35, 75. The fourth column is labeled Z with entries 60, 25, 50, 135. The fifth column is labeled Total with entries 135, 55 110, 300.

C and Y are independent events because P(C∣Y) = P(Y).

C and Y are independent events because P(C∣Y) = P(C).

C and Y are not independent events because P(C∣Y) ≠ P(Y).

C and Y are not independent events because P(C∣Y) ≠ P(C).

The two-way table shows the estimated number of students who will enroll in three area high schools next year.

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The two-way table shows the ages of the players on different soccer teams.Which statement is true?

The probability that a randomly selected player on Team A is 8 years old is .

The probability that a randomly selected 8-year-old player is on Team C is .

The probability that a randomly selected player on Team C is 10 years old is .

The probability that a randomly selected 10-year-old player is on Team B is .

The two-way table shows the number of houses on the market in the Castillos’ price range.What is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms?

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A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 15, 5, 30, 50. The third column is labeled Y with entries 5, 8, 15, 28. The fourth column is labeled Z with entries 10, 7, 5, 22. The fifth column is labeled Total with entries 30, 20, 50, 100.

A and X

A and Y

B and X

B and Y

The two-way table shows the medal count for the top-performing countries in the 2012 Summer Olympics.Which statement is true?

The probability that a randomly selected silver medal was awarded to Great Britain is .

The probability that a randomly selected medal won by Russia was a bronze medal is .

The probability that a randomly selected gold medal was awarded to China is .

The probability that a randomly selected medal won by the United States was a silver medal is .

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Probability and Two-Way Tables Answers

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