Conditional Probability from Two-Way Tables

According to the two-way table, a person who plays an instrument is most likely to:

• Not play an instrument

• Not play a team sport

• Play a team sport

• All of the above

A survey explored the relationship between gender and band class. Which is a reasonable conclusion?

• There are more band members than non-band members

• There are more boys in the class than girls

• There are more boys in band than not in band

• More than half of the bands members in the class are girls

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds a Visa and AA card, given they hold a Visa. 

• .0267

• .02

• 37.5

• .3333

45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?

• 60%

• 40%

• 24%

• 1.7%

Of the 200 people who bought soda, 25% of them also bought a hot dog. This is an example of_________.

• Joint Frequency

• Marginal Frequency

• Joint Relative Frequency

• Marginal Relative Frequency

• Conditional Relative Frequency

Which of these values below is a marginal frequency?

• 182

• 120

• 46

• 10

Which of the values below is a joint frequency?

• 400

• 200

• 182

• 4

Of the 400 total people surveyed, 5% of them bought water and no food. This is an example of_____.

• Joint Frequency

• Marginal Frequency

• Joint Relative Frequency

• Marginal Relative Frequency

• Conditional Relative Frequency

Which of the following formulas will correctly calculate the percentage of males who prefer basketball?

• 15 / 48 * 100

• 48 / 15 * 100

• 15 / 48

• 48 / 15

The annual "Totally Fictional Marathon" has 100 participants. Of those 100 participants, 50% of them are wearing a blue shirt. Of all participants wearing a blue shirt, 40% of them are also wearing a hat. How many participants are wearing a blue shirt and a hat?

• 40

• 30

• 20

• 10