# Mutually Exclusive

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```					Mutually Exclusive vs. Not Mutually Exclusive
This spreadsheet illustrates the difference between mutually exlusive and not mutually exclusive
events. It should help you understand how to calculate the probability of drawing a card that
meets the criteria you set.

Mutually Exclusive:
P(1 or 2 or 3) = P(1) +P(2) + P(3)

Not Mutually Exclusive:
P(1 or 2 or 3) = P(1) +P(2) + P(3) - P(1 and 2) - P(1 and 3) - P(2 and 3)

Available Criteria:
Card Number/Letter: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A                        Change these values to see the
Suit: H=Heart, C=Club, S=Spade, D=Diamond                                         probability of drawing a card that
fits your criteria. Can you see the
Criteria            Type         Probability                difference between mutually
Criteria 1               J                Card           0.077                    exclusive and not mutually
exclusive events?
Criteria 2               S                 Suit          0.250
Criteria 3                                None

Suit
Number/
Letter                H                 C                S             D
2                                                      X
3                                                      X
4                                                      X
5                                                      X
6                                                      X
7                                                      X
8                                                      X
9                                                      X
10                                                      X
J                   X                 X                X              X
Q                                                      X
K                                                      X
A                                                      X

Total Count             16
Probability            0.308
Mutually Exclusive vs. Not Mutually Exclusive
This spreadsheet illustrates the difference between mutually exlusive and not mutually
exclusive events. It should help you understand how to calculate the probability of
drawing a card that meets the criteria you set.
Mutually Exclusive:
P(1 or 2 or 3) = P(1) +P(2) + P(3)

Not Mutually Exclusive:
P(1 or 2 or 3) = P(1) +P(2) + P(3) - P(1 and 2) - P(1 and 3) - P(2 and 3)

Available Criteria:
Card Number/Letter: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A
Suit: H=Heart, C=Club, S=Spade, D=Diamond

Criteria           Type           Probability
Criteria 1                J               Card             0.077
Criteria 2                S                Suit            0.250
Criteria 3                                None

Suit
Number/
Letter                H                  C                S              D
2                                                       X
3                                                       X
4                                                       X
5                                                       X
6                                                       X
7                                                       X
8                                                       X
9                                                       X
10                                                       X
J                    X                 X                X              X
Q                                                       X
K                                                       X
A                                                       X

Total Count              16
Probability             0.308

```
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 views: 5 posted: 5/27/2012 language: pages: 2