Probability End of Unit Assessment

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 both basketball and baseball?

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?

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 did not complete the homework passed the test?

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 assignment. What is the probability that a student who completed the homework passed the test?

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?

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has a master's degree is chosen at random, what is the probability that they are aged 50 or over? Round your answer to the nearest thousandth.

This season, the probability that the Yankees will win a game is 0.59 and the probability that the Yankees will score 5 or more runs in a game is 0.47. The probability that the Yankees lose and score fewer than 5 runs is 0.34. What is the probability that the Yankees win and score 5 or more runs? Round your answer to the nearest thousandth.

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 it is raining if the flight has been delayed? Round your answer to the nearest thousandth.

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• 0.237

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