Flashcards in Probability Facts Deck (13):

1

## Random Process

###
Is the process that has unpredictable result.

e.g. rolling the dice.

This can also be called an experiment.

2

## Outcomes

###
Are all possible results.

e.g. 1, 2, 3, 4, 5, 6.

We use the Greek letter Ω to mean the set of all possible outcomes.

e.g. Ω = ( 1, 2, 3, 4, 5, 6 ).

3

## Event

###
Is a set of outcomes.

e.g. { 2, 4, 6 }

When we say an event has occurred, we mean that the random process resulted in one of the outcomes of the event.

e.g. 2, 4, or 6

4

## Mutually Exclusive

###
Two events are mutually exclusive if they have no outcomes in common.

e.g. { 1, 2} and {4, 5}

These events can also be called disjoint.

5

## Probability Measure (P)

###
Rule or table that gives the probability of every event. Usually we use upper case letter P for the probability measure.

We write the probabilities of events like this:

P({2, 4, 6 }) = 0.5 or sometimes as a shortcut: P(A) = 0.5

6

## Conditional Probability

###
The Conditional Probability of event A given event B is:

P(A/B) = P(A and B)

_________

P(B)

7

## If we say the two events are INDEPENDENT, this means?

### P(A\B=P(A)

8

## Addition Rule

### P ( A or B ) = P (A) + P (B) - P ( A and B)

9

## Multiplication Rule

### P( A and B ) = P(A)P(BIA)

10

## If events A and B are independent, then the multiplication rule becomes what?

### P ( A and B ) = P (A)P (B)

11

## If A and B are mutually exclusive then the addition rule becomes...

### P ( A or B ) = P ( A ) + P ( B )

12

## Other Probability Facts

###
0 ≤ P (A) ≤ 1

P ( Ω ) = 1

13