The probability of getting heads when flipping a fair coin is 0.5
True
The value of P(A) always falls between 0 and 1
What does P(event) refer to in the probability formula?
Probability of the event
How is probability expressed?
As a ratio
The value of P(A) always falls between 0 and 1
What is the probability of rolling a 3 on a fair 6-sided die?
1/6
The probability of rolling a 1 is 1/6
Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes.
True
The complementary probability formula is P(not event) = 1 - P(event
The probability of *not* rolling a 4 is 5/6, which is approximately 0.833
Match the type of event with its characteristic:
Dependent ↔️ Outcome of one event affects another
Independent ↔️ Outcome of one event does not affect another
Conditional probability differs from independent probability because the probability of one event depends on the outcome of another.
What does P(B) represent in the conditional probability formula?
Probability of event B
Probability is a measure of how likely an event is to occur
P(A) = 0 means that event A will never occur
When rolling a fair 6-sided die, the probability of rolling a specific number is 1 out of 6
The basic probability formula calculates the probability of an event occurring by dividing the number of successful outcomes by the total possible outcomes.
True
The complementary probability formula calculates the probability of an event not occurring by subtracting the probability of the event from 1.
True
Dependent events are events where the outcome of one event affects the probability of another event occurring.
True
What is the formula for calculating conditional probability?
P(A|B) = P(A and B) / P(B)
What is the conditional probability of drawing a red heart given that a heart is drawn from a deck of cards?
1/2
What is the formula for the Addition Rule in probability?
P(A or B) = P(A) + P(B) - P(A and B)
Tree diagrams consist of branches that show the possible outcomes and their associated probabilities
Tree diagrams are helpful for complex probability problems because they visually depict the sequence of events
What is probability a measure of?
Likelihood of an event
Match the key term with its definition:
Probability ↔️ Measure of how likely an event is to occur
Favorable Outcomes ↔️ Outcomes that satisfy the event
Total Outcomes ↔️ All possible outcomes
If P(A) = 0, the event A will never occur
True
The total number of outcomes in the probability formula refers to all possible outcomes
The formula for probability is P(event) = Number of favorable outcomes / Total number of outcomes
How is probability calculated?
Favorable outcomes / Total outcomes
The probability of rolling a 3 is 1/6, which is approximately 0.167
What is the probability of rolling a 3 on a fair 6-sided die?
1/6
The probability of rolling a 3 is 1/6, which is approximately 0.167
The complementary probability formula calculates the probability of an event *not* occurring.
True
Dependent events are events where the outcome of one event affects the probability of another event.
True
What is an example of dependent events?
Drawing a card without replacement
Conditional probability is the probability of an event occurring given that another event has already occurred.
True
What is the formula for calculating conditional probability?
P(A∣B)=P(B)P(A and B)
Conditional probability is the same as independent probability.
False
What is the basic formula for calculating probability?
P(event)=Total number of outcomesNumber of favorable outcomes