How many ways can a committee of 3 students be selected from 10 students?

A fair six-sided die is rolled once. What is the probability of rolling an even number?

A standard deck of 52 cards contains 26 red cards. If one card is selected at random, what is the probability it is red?

A committee randomly selects two students from a group of 7 women and 5 men. What is the probability both selected students are women?

From 8 defective and 12 good parts, 5 parts are selected without replacement. What is the probability exactly 1 defective part is selected?

If the probability that a randomly selected product is defective is 0.04, what is the probability it is not defective?

A distribution has probabilities 0.10, 0.50, 0.25, and 0.20. Why is it not valid?

A random variable has X = 1, 2, 3 with probabilities 0.2, 0.5, 0.3. What is E(X)?

How many different 4-letter arrangements can be formed from 7 distinct letters without repetition?

Among 30 employees, 18 are full-time and 10 full-time employees have graduate degrees. If an employee is full-time, what is the probability the employee has a graduate degree?