This document discusses three topics related to probability: 1) the probability of an event, which is defined as the number of desired outcomes divided by the total number of possible outcomes, 2) the probability of mutually exclusive events, which is the sum of the individual probabilities minus the probability of both occurring, and 3) the probability of independent events, which uses the multiplication rule and is the product of the individual probabilities if the events do not affect each other.

1. SUBTOPIC
Probability of an Event
Probability of Mutually Exclusive
Probability of Independent events
By: NR Tungane
Cited: Dubai Suney
SLIDE
NUMBER
1 OF 3
2 OF 3
3 OF 3

2. a set of desired outcomes
= n ( A )
=
P(A) n ( S
)
a set of all possible outcomes
0 £ P(A) £ 1 and P(A') = 1- P(A)
1 of 3

3. MUTUALLY EXCLUSIVE EVENTS
x
A B
x
A B
The probability of event A or event B
occurring / not mutually exclusive
P(A or B)
P(AÈ B) = P(A) + P(B) - P(AÇ B)
P(AÇ B) ¹ 0
The probability of event A and event
B mutually exclusive.
P(A or B)
P(AÈ B) = P(A) + P(B)
because P(AÇ B) = 0
2 of 3

4. INDEPENDENT EVENTS
Two events are independent if the fact A occurs
does not affect the probability of B occurring.
P(A and B)
P(AÇ B) = P(A)´ P(B)
METHOD
1
2
3
Find the probability of each event.
Determine if the events are dependent.
Use the Multiplication Rule of Probability to calculate of both events. 3 of 3