Calculating probability from a verbal description

In a math class with 19 students, a test was given the same day that an assignment was due. There were 10 students who passed the test and 14 students who completed the assignment. There were 6 students who passed the test and completed the assignment. What is the probability that a student passed the test? Write your answer as a fraction.

In a math class with 19 students, a test was given the same day that an assignment was due. There were 10 students who passed the test and 14 students who completed the assignment. There were 6 students who passed the test and completed the assignment. What is the probability that a randomly selected student passed the test but did not complete the assignment? Write your answer as a fraction.

In a class 20 of students, 13 have a brother and 5 have a sister. There are 2 students who have a brother and a sister. What is the probability that a student chosen randomly from the class does not have a brother? Write your answer as a fraction.

In a class 20 of students, 13 have a brother and 5 have a sister. There are 2 students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a brother OR has a sister? Write your answer as a fraction.

In a class 22 of students, 15 are upperclassmen and 9 have an A in the class. There are 7 students who are upperclassman and do not have an A in the class. What is the probability that a student is an upperclassman and they have an A? Write your answer as a fraction.

In a class 22 of students, 15 are upperclassmen and 9 have an A in the class. There are 7 students who are upperclassman and do not have an A in the class. What is the probability that a student is an upperclassman OR they have an A? Write your answer as a fraction.

What is the probability that they speak French given they are a girl? 

• 2.14
• .24
• .4
• .8571

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?

• 59.5%

• 10.5%

• 1.6%

• Not enough information

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
• 37.5
• .02
• .3333