Probability Retest

In a certain Algebra 2 class of 25 students, 6 of them play basketball and 12 of them play baseball. There are 11 students who play neither sport. What is the probability that a student chosen at random from the class plays basketball or baseball?

In a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. What is the probability that a student who passed the test, did not do the homework?

In a class of 27 students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probability that a student has a dog given that they have a cat?

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.12 and the probability that the flight will be delayed is 0.18. The probability that it will rain and the flight will be delayed is 0.01. What is the probability that flight has been delayed if it is raining? Round your answer to the nearest thousandth.

A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by choosing the appropriate sentence below, rounding all probabilities to the nearest thousandth.

Since P(male | pass) =  ________ and P(male) = 0.543,  the two results are _________ so the events are ________________.

• 0.521, unequal, dependent

• 0.521, unequal, independent

• 0.698, unequal, independent

• 0.698, unequal, dependent

• 0.529, equal, independent

• 0.529, equal, dependent

• 0.765, unequal, independent

• 0.765, unequal, dependent

In a class of 28 students, 5 have a cat and 21 have a dog. There are 4 students who do not have a cat or a dog. What is the probability that a student who has a cat also has a dog?

In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport or an instrument? Round your answer to the nearest thousandth.

In a math class with 25 students, a test was given the same day that an assignment was due. There were 16 students who passed the test and 17 students who completed the assignment. There were 6 students who failed the test and also did not complete the homework. What is the probability that a student who passed the test did not complete the homework? Round your answer to the nearest thousandth, if necessary.

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident aged 20 - 29 is chosen at random, what is the probability that they have a Bachelor's degree? Round your answer to the nearest thousandth.