HiSET Math Domain 3: Data Analysis, Probability, and Statistics

A survey was conducted to determine the favorite type of movie among a group of people. The results were 30% for action, 25% for comedy, 15% for horror, and the rest for drama. What is the probability that a person chosen at random prefers drama?

In a class of 60 students, 30% received an A grade. If three students are selected at random, what is the probability that exactly two of them received an A?

A box contains 8 blue, 7 red, and 5 green balls. If two balls are drawn at random, what is the probability that both are green?

A dataset has a mean of 50 and a standard deviation of 5. If all the values in the dataset are increased by 5, what is the new standard deviation?

The interquartile range of a dataset is 15. If the lower quartile is 20, what is the minimum possible value of the upper quartile?

A fair die is rolled three times. What is the probability of rolling a six all three times?

A set of data is normally distributed with a mean of 100 and a standard deviation of 15. What percentage of the data lies within one standard deviation of the mean?

In a certain town, the probability that it will rain on any given day is 0.3. What is the probability that it will rain on exactly two out of five consecutive days?

A student must choose 3 courses from a list of 5. How many different combinations of courses can the student choose?

A bag contains 4 red, 5 blue, and 6 green marbles. What is the probability of drawing two blue marbles in a row without replacement?