Question

The City Basketball League includes high schools from within the city limits. The table shows the number of players of two different heights who play different positions.

Guard Forward Center Totals
Over 6 feet 25 30 30 85
Under 6 feet 130 120 35 285
Totals 155 150 65 370
Enter your answers as simplified fractions.

A. Russell is 5'9". What is the probability he is a forward?

B. Peter is 6'2". What is the probability he is a guard?

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The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized by age groups.

Baseball League (B) Softball League (S)
Ages 7 – 9 3 7
Ages 10 – 12 2 2
Ages 13 – 15 1 1
If the winning team plays in the Ages 10 - 12 division, find the probability that the team is in the Baseball League. Answer in terms of a reduced fraction.

Answer 1

A survey of patients at a hospital classified the patients by gender and blood type, as seen in the two-way table.

Gender
Blood Type Male Female TOTAL
A 105 93 198
B 99 84 183
O 160 140 300
AB 15 18 33
TOTAL 379 335 714
What percent of all patients are blood type AB? Round your answer to the nearest tenth of a percent.

Answer 2

First problem

The City Basketball League includes high schools from within the city limits. The table shows the number of players of two different heights who play different positions.

Guard Forward Center Totals
Over 6 feet 25 30 30 85
Under 6 feet 130 120 35 285
Totals 155 150 65 370
Enter your answers as simplified fractions.

A. Russell is 5'9". What is the probability he is a forward?

B. Peter is 6'2". What is the probability he is a guard?

part A) you are given his height 5'9", which is under 6 feet. Therefore, calculate (# of forwards who are under 6 feet) / (total # of players who are under 6 feet)

part B) similar logic, (# of guards over 6 feet) / (total # of players over 6 feet)

Answer 3

Second problem

The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized by age groups.

Baseball League (B) Softball League (S)
Ages 7 – 9 3 7
Ages 10 – 12 2 2
Ages 13 – 15 1 1
If the winning team plays in the Ages 10 - 12 division, find the probability that the team is in the Baseball League. Answer in terms of a reduced fraction.


Similar logic to the previous problem, since you already know the winning team is in the ages 10-12 division, you look at the ages 10-12 division row and calculate (baseball leagues in the 10-12 division) / (total # of teams in the 10-12 division)

Answer 4

Third problem

A survey of patients at a hospital classified the patients by gender and blood type, as seen in the two-way table.

Gender
Blood Type Male Female TOTAL
A 105 93 198
B 99 84 183
O 160 140 300
AB 15 18 33
TOTAL 379 335 714
What percent of all patients are blood type AB? Round your answer to the nearest tenth of a percent.

Since it's asking what percent of *all* patients are blood type AB, calculate (# of AB patients) / (total # of patients)