Probability Foundations
This term describes the set of all possible outcomes of an experiment.
What is the sample space
Choosing three students to form a committee is an example of this because the selection order does not matter.
What is a combination
Assigning first, second, and third place is an example of this because order matters.
What is a permutation
A six-sided die is rolled. Write the event A that the result is greater than 4.
What is A = {5, 6}
Seven students are available, and two must be selected to deliver an attendance report. How many different pairs are possible?
What is 21 pairs
Evaluate 5!
What is 120
A fair eight-sided die numbered 1–8 is rolled. What is the probability that the result is a divisor of 12?
What is 5/8
Ten restaurants are available. How many different groups of four restaurants can be selected?
What is 210 groups
Eight students are running for president, vice president, and secretary. How many different officer arrangements are possible?
What is 336 arrangements
A probability model has four outcomes. Their probabilities are 0.18, 0.27, 0.31, and x. Find x.
What is 0.24
Seven of 12 activities are free. If three different activities are selected randomly, what is the probability that all three are free?
What is 7/44
A four-digit code uses no repeated digits. The first digit cannot be 0. How many codes are possible?
What is 4,536 codes
An integer from 1 through 20 is selected randomly. What is the probability that it is divisible by 3 or 5? Write in percentage form
What is 45%
A group contains 5 seniors and 7 juniors. Four students are selected randomly. What is the probability that exactly 2 seniors and 2 juniors are selected?
What is 14/33
Eight runners compete for gold, silver, and bronze. How many medal arrangements are possible if Malik and Jordan cannot both earn a medal?
What are 300 arrangments