Probability with Combinations and Permutations — Unit test Answers

A random sample of adults was asked about their highest education level completed. The distribution of results is shown in the table.What is the probability that the highest level of education of an adult is a high school diploma, given that they have completed at least one of the education levels shown?

Dropping a piece of buttered toast will theoretically land butter-side down with a probability of 0.65. Some students decided to test this theory and dropped five pieces of buttered toast. All five landed butter-side down. One of the students claims that the next piece of buttered toast dropped will land butter-side up because it is due to happen.

A study reported that about half of high school seniors study for upcoming math tests. To find out if this applies to seniors at Garfield High School, an SRS of 30 seniors was asked if they study for their math tests. Nineteen responded "Yes.”A dotplot is provided showing the results of 40 trials of this simulation.

A recent survey found that 65% of high school students were currently enrolled in a math class, 43% were currently enrolled in a science class, and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?

A restaurant offers three vegetable side dishes, two fruit side dishes, and five grain-based side dishes. Each entree comes with two side dishes.What is the approximate probability of randomly choosing one vegetable and one grain-based side dish?