Flawed parts: On a certain day, a foundry manufactured  583  cast aluminum parts. Some of these had major flaws, some had minor flaws, and some had both major and minor flaws. The following table represents the results.     Minor Flaw No Minor Flaw Major Flaw 22 32 No Major Flaw 78 451     Send data to Excel (a) Find the probability that a randomly chosen part has a major flaw.(b) Find the probability that a randomly chosen part has a minor flaw.(c) Find the probability that a randomly chosen part has a flaw (major or minor).(d) Find the probability that a randomly chosen part has no major flaw.

Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?

In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class does not have a cat or a dog? Has a dog Does not have a dog Has a cat 9 6 Does not have a cat 2 11

Role-playing games like Dungeons & Dragons use many different types of dice. Suppose that a four-sided die has faces marked 1, 2, 3, and 4. The intelligence of a character is determined by rolling this die twice and adding 1 to the sum of the spots. The faces are equally likely, and the two rolls are independent. What is the average (mean) intelligence for such characters?

Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places.   The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is    .

Discrete Math. Counting. Show step by step how to solve this.

A newspaper sports reporter has a 58% accuracy for predicting the winners in NHL hockey games. A radio sports reporter has a 65% accuracy for predicting the winners. For a particular game, what is the probability that at least one of these reporters will make a correct prediction?

A sample of 4 different calculators is randomly selected from a group containing 20 that are defective and 10 that have no defects. What is the probability that all four of the calculators selected are defective? Give your answer as a percent rounded to the nearest tenth of a percent.