Exploring Probability
The chance of rolling a 6 on a standard die is expressed as this fraction.
What is 1/6?
Odds are expressed as a ratio comparing these two quantities.
What are favorable outcomes to unfavorable outcomes?
The total number of outcomes when flipping 3 coins is this.
what is 8?
Two events are mutually exclusive if this is true about their outcomes.
What is they cannot happen at the same time?
Conditional probability is the chance of one event happening if this is true.
What is another event has already happened?
A game is fair if all players have this kind of chance to win.
What is an equal chance?
If the probability of winning is 3/5 the odds in favor are expressed as this ratio.
What is 3:2?
The number of ways to arrange 5 books on a shelf is calculated using this operation. !
What is a factorial (5!)?
The probability of either of two mutually exclusive events happening is calculated by doing this to their probabilities.
What is adding them?
In a tree diagram, each branch shows the probability of an event happening under this condition.
What is after a previous event?
If an event is impossible, its probability is this value.
What is 0?
Odds of 2:3 against an event mean the probability of the event is this fraction.
what is 2/5
If you choose 2 items from a group of 5, and order does not matter, you use this formula.
What is the combination formula
If P(A)=0.3 and P(B)=0.2 and they are mutually exclusive, P(A U B) is this.
what is 0.5?
If the chance of rain given it is cloudy is 70%, this is the type of probability being described.
What is conditional probability?
Theoretical probability is based on this type of reasoning instead of experiments.
What is mathematical reasoning?
The probability of an event happening is 0.25. The odds in favor are expressed as this ratio
What is 1:3?
The probability of randomly guessing the correct answer to a 4-option multiple-choice question is this.
what is 1/4
Drawing a red card or a black card from a standard deck is an example of this type of event.
What is a mutually exclusive event?
A bag contains 3 red balls and 2 blue balls. If one red ball is removed, the probability of picking another red ball changes because of this.
What is the first event affects the second?
Experimental probability is calculated using this formula: number of successes/total trials
What is the relative frequency formula?
A spinner has 4 equal sections: red, blue, green, and yellow. The odds of spinning green are expressed like this.
What is 1:3?
A 4-digit PIN is created using digits 0-9. The total number of possible PINs is this.
What is 10,000?
If two events are not mutually exclusive, what should you do to avoid counting overlap twice?
What is subtract the overlap?
A company’s survey finds that 30% of its customers are under 18, and 20% of those under 18 own a gaming console. What is the probability that a randomly chosen customer is under 18 and owns a gaming console?
Using conditional probability:
P = 0.30 x 0.20 = 0.06