A coin is flipped twice (event A then event B). Write the formula used to calculate the probability of heads on both flips if independent.

A company creates two-letter product codes using the 26-letter alphabet. How many possible codes can be created?

A quality control analyst defines event A as a defective product. Write the formula used to find the probability of a product NOT being defective.

A multiple-choice question has five possible answers with only one correct answer. If a student guesses randomly, what is the probability of selecting the correct answer?

When counting arrangements, what is the value of 0 factorial?

If a probability depends on a prior event (e.g., P(A|B), what type of probability is being used?

The same board assigns 3 leadership roles (chair, vice chair, secretary) from 12 members. How many ordered outcomes are possible?

A company is testing arrangements of 4 different products on a shelf where order matters. How many possible arrangements exist?

A fair coin is flipped twice. What is the probability that both flips result in heads, assuming independent events?

Given 761 men and 82 boys among a total of 1309 passengers, what is the probability that a randomly selected passenger is a man? (round to 3 decimals)