Complements and Conditional Probability

The table shows a sample of 378 students sorted by whether they are in a club and what language they study in school.

What is the probability that a randomly selected student is not in a club?

The table shows a sample of 378 students sorted by whether they are in a club and what language they study in school.

What is the probability that a student takes Latin given that they participate in a club?

James is interested in the relationship between weather conditions and whether his train runs on time. For a year, James records whether each day is sunny, cloudy, rainy, or

snowy, as well as whether this train arrives on time or is delayed.

What is the probability that it will rain AND his train is delayed?

• 55/365

• 15/55

• 15/365

• 15/35

James is interested in the relationship between weather conditions and whether his train runs on time. For a year, James records whether each day is sunny, cloudy, rainy, or

snowy, as well as whether this train arrives on time or is delayed.

What is the probability that it will rain GIVEN his train is delayed?

• 55/365

• 15/55

• 15/365

• 15/35

One hundred and thirty-two individuals were selected at random and asked which brand of car they preferred.  They were then sorted by age. 

What is the probability that a person, selected at random, preferred Honda? Write your answer as a fraction or a decimal rounded to three significant digits.

One hundred and thirty-two individuals were selected at random and asked which brand of car they preferred.  They were then sorted by age. 

What is the probability that a person, selected at random, preferred Honda given their age was 18-34? Write your answer as a fraction or a decimal rounded to three significant digits.

The table shows a sample of 378 students sorted by whether they are in a club and what language they study in school.

What is the probability that a student takes Latin AND that they participate in a club?

One hundred and thirty-two individuals were selected at random and asked which brand of car they preferred.  They were then sorted by age. 

What is the probability that a person, selected at random, is in the 18-34 age group? Write your answer as a fraction or a decimal rounded to three significant digits.

One hundred and thirty-two individuals were selected at random and asked which brand of car they preferred.  They were then sorted by age. 

What is the probability that a person, selected at random, prefers Honda or Toyota but not Nissan? Write your answer as a fraction or a decimal rounded to three significant digits.

The table shows a sample of 378 students sorted by whether they are in a club and what language they study in school.

What is the probability that a student does not take Latin?