Probability And Statistics Terminology

verb a word that expresses an action, occurrence, or state of being, in this case, 'expected' is the past tense of the verb 'expect'

adjective a word that describes or modifies a noun or pronoun, in this case, 'expected' describes something that is anticipated or predicted to happen

• The company's revenue for this quarter is lower than expected.
• I didn't expect the movie to be that good!
• I'm expecting a big turnout at the party tonight.
• Her performance in the play exceeded all expectations.

noun a good opportunity or possibility for success

adjective having desirable or positive qualities

• There is a good chance that the project will be completed on time.
• You have a good chance of winning the raffle with all those tickets!
• There's a good chance we'll hit up that new burger joint tonight.
• If you study hard, there's a good chance you'll ace the exam.

noun the quality or state of being improbable; something that is unlikely to happen

• The probability of winning the lottery is so low that it borders on improbability.
• It's highly improbable that we'll be able to finish this project on time.
• The chances of that happening are slim to none, it's pure improbability.
• The idea of him becoming a professional athlete is an improbability at this point.

adjective having a high probability of occurring or being true

• Based on the data analysis, it is likely that the company will experience a decrease in profits next quarter.
• I think it's likely that we'll have to reschedule the meeting due to the weather forecast.
• She's likely gonna be late again, she's always running behind.
• The chances of him winning the lottery are about as likely as finding a needle in a haystack.

noun a possibility or probability that something may happen or be true

• On the off chance that the meeting is rescheduled, please let me know as soon as possible.
• Just on the off chance that she shows up, I'll save her a seat.
• I'm gonna grab an umbrella on the off chance it starts raining.
• He decided to invest in the startup on the off chance that it becomes the next big thing.

noun the quality or state of lacking a definite plan, purpose, or pattern

adjective not predictable, haphazard

• The concept of randomness plays a crucial role in statistical analysis.
• I love how randomness adds excitement to games like bingo.
• Dude, that party was so random - we had no idea what was going to happen next!
• In the chaos of life, randomness can sometimes lead to unexpected opportunities.

adjective not likely to happen or be true; improbable

• It is highly unlikely that the experiment will yield accurate results without proper controls in place.
• It's unlikely that we'll find a parking spot this close to the mall on a Saturday.
• There's no way I'm going to that party, it's unlikely I'll have a good time.
• She's so stubborn, it's unlikely she'll ever change her mind about that decision.

adverb in a manner that relates to or involves probability or likelihood

• The outcome of the experiment can be determined probabilistically.
• We can figure out the chances of success probabilistically.
• Let's take a wild guess and do it probabilistically.
• Life is like rolling a dice probabilistically, you never know what you'll get.

noun a rule in mathematics that states that the probability of the union of two events is equal to the sum of the probabilities of the individual events

• The addition rule in probability theory states that the probability of the union of two events is equal to the sum of their individual probabilities minus the probability of their intersection.
• Remember to use the addition rule when calculating probabilities for multiple events happening together.
• If you want to figure out the chances of two things happening at the same time, just add up their individual probabilities using the addition rule.
• Just like combining ingredients in a recipe, the addition rule allows you to mix and match different probabilities to find the overall likelihood of an event.