More Tree Diagrams and Probability

Front

What is a tree diagram?

Back

A tree diagram is a graphical representation used to illustrate all possible outcomes of a sequence of events, showing the probabilities associated with each outcome.

Front

How do you calculate the probability of an event?

Back

Probability of an event = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What is the probability of rolling an even number on a standard die?

Back

There are 3 even numbers (2, 4, 6) on a die. Probability = 3/6 = 1/2.

Front

What is the probability of flipping a head on a fair coin?

Back

Probability of flipping a head = 1/2.

Front

What is the combined probability of two independent events occurring?

Back

The combined probability = (Probability of Event A) x (Probability of Event B).

Front

If the probability of an event is 0.5, what does this mean?

Back

It means there is an equal chance of the event occurring or not occurring.

Front

What is the probability of NOT rolling a 3 on a die?

Back

Probability of NOT rolling a 3 = 1 - (Probability of rolling a 3) = 1 - 1/6 = 5/6.

Front

How do you represent outcomes of multiple events using a tree diagram?

Back

Each branch of the tree represents a possible outcome of an event, and branches split for each subsequent event.

Front

What is the probability of rolling an even number and flipping a head?

Back

Probability = (Probability of rolling an even number) x (Probability of flipping a head) = (1/2) x (1/2) = 1/4.

Front

What does it mean for events to be independent?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.