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)

A fair coin is flipped once. Based on the classical probability approach, what is the probability of obtaining heads?

Among 761 men, 130 survived. What is the probability of survival GIVEN the passenger is a man? (do not round answer)

A professor wants to select and order r students from a group of n. What is the permutation formula (or Excel function)?

A business process consists of two decisions: one with m choices and one with n choices. What rule or formula determines total possibilities?

A manager wants to arrange 3 employees in a specific order for roles. How many arrangements are possible for 3 people?

A student calculates the probability of selecting either a red card (event A) or a face card (event B) from a deck of cards. What formula should they use?

AND problems use?