Probability Dictionary!

Probability Experiment

Process which leads to well-defined results call outcomes

Outcome

The result of a single trial of a probability experiment

Sample Space

Set of all possible outcomes of a probability experiment

Event

One or more outcomes of a probability experiment

Classical Probability

Uses the sample space to determine the numerical probability that an event will happen. Also called theoretical probability.

Equally Likely Events

Events which have the same probability of occurring.

Complement of an Event

All the events in the sample space except the given events.

Mutually Exclusive Events

Two events which cannot happen at the same time.

Disjoint Events

Another name for mutually exclusive events.

Independent Events

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

Dependent Events

Two events are dependent if the first event affects the outcome or occurrence of the second event in a way the probability is changed.

Conditional Probability

The probability of an event occurring given that another event has already occurred.

Permutation

An arrangement of objects in a specific order.

Combination

A selection of objects without regard to order.

Tree Diagram

A graphical device used to list all possibilities of a sequence of events in a systematic way. 
 

• A jar contains 2 red, 3 blue, and 4 green marbles. Niki draws one marble from the jar, and then Tom draws a marble. What is the probability that Niki will draw a green marble and Tom will draw a blue marble?

• What is the probability that you will pick two aces in a row out of a 52- card deck?

1.   The following coins are put in a bag: Describe the probability of picking a dime.	2.   A number from the following list is chosen at random:  6, 94, 85, 38, 16, 42, 90, 19, 7, 14, and 44. Describe the probability of picking an even number.
3.   The following coins are put in a bag: Describe the probability of picking a dime.	4.   A glass jar contains a total of 37 marbles. The jar has blue and green marbles. There are 30 blue marbles. Describe the probability of picking a green marble.
5.   A number from the following list is chosen at random:  9, 7, 15, 55, 69, and 5. Describe the probability of picking an odd number.	6.   A glass jar contains a total of 25 marbles. The jar has purple and yellow marbles. There are 5 yellow marbles. Describe the probability of picking a yellow marble.
7.   The following coins are put in a bag: Describe the probability of picking a nickel.	8.   The following coins are put in a bag: Describe the probability of picking a penny.
9.   A glass jar contains a total of 34 marbles. The jar has red and blue marbles. There are 27 red marbles. Describe the probability of picking a red marble.	10.   A glass jar contains a total of 29 marbles. The jar has green and blue marbles. There are 24 green marbles. Describe the probability of picking a red marble.