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Mutually Exclusive and Overlapping Events
Contributed by: Miles
(Original author: Collins)
Two events are said to be mutually exclusive if they can not occur at the same time. 
If two events are mutually exclusive, then the probability of both events occurring at the same time is zero. 
If events A and B are mutually exclusive, then: 
        P(A) or P(B) = P(A) + P(B)
        P(A) and P(B) = 
If events are not mutually exclusive, then they are overlapping
If two events are overlapping, then they can both occur at thesame time.
If events C and D are overlapping, then: 
       P(C) or P(D) = P(C) + P(D) – { P(C) and P(D) }
       where P(C) and P(D) ≠ 
Mutually Exclusive
Answer Yes or No
Overlapping
Tell if the following event is mutually exclusive
or overlapping then answer the question.

A bag contains 6 red balls numbered 1,2,4,5,8,9 and
4 white balls numbered 3,6,7,10.  

If a ball is drawn at random, what is the probability 
the ball is red or odd-numbered? 
Write Answer as a Fraction
Reduce Your Answer
Probability
A bag contains 6 red balls numbered 1, 2, 4, 5, 8, 9
and 4 white balls numbered 3, 6, 7, 10. 

If a ball is drawn at random, what is the probability that the ball is red or 10?
Answer Yes or No
Mutually Exclusive
Tell if the following event is mutually exclusive
or overlapping, then answer the question.

Overlapping
Reduce Your Answer
Write Answer as a Fraction
Probability
A bag contains 6 red balls numbered 1, 2, 4, 5, 8, 9
and 4 white balls numbered 3, 6, 7, 10. 

If a ball is drawn at random, what is the probability that the ball is white or a multiple of 3?
Mutually Exclusive
Tell if the following event is mutually exclusive
or overlapping, then answer the question.

Answer Yes or No
Overlapping
Reduce Your Answer
Write Answer as a Fraction
Probability
Mutually Exclusive
A bag contains 6 red balls numbered 1, 2, 4, 5, 8, 9
and 4 white balls numbered 3, 6, 7, 10. 

If a ball is drawn at random, what is the probability that the ball is red or white?
Answer Yes or No
Tell if the following event is mutually exclusive
or overlapping, then answer the question.

Overlapping
Probability
There are        cards in a standard deck.  
Half the deck is red; half the deck is             . 
There are four suits: hearts, diamonds,             and spades. 
Each suit has        cards: {Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King}
The Jack, Queen and King are called "             cards".
52
?
13
?
black
?
face
?
clubs
?
Mutually Exclusive
Overlapping
Tell if the following event is mutually exclusive
or overlapping, then answer the question.

Answer Yes or No
Suppose one card is drawn from a standard deck of 
52 cards. 

What is the probability of drawing a ninor a spade?
Reduce Your Answer
Probability
Write Answer as a Fraction
Mutually Exclusive
Overlapping
Tell if the following event is mutually exclusive
or overlapping, then answer the question.

Answer Yes or No
Suppose one card is drawn from a standard deck of 
52 cards. 
What is the probability of drawing a red card or a black card?
Probability
Mutually Exclusive
Overlapping
Tell if the following event is mutually exclusive
or overlapping, then answer the question.

Answer Yes or No
Suppose one card is drawn from a standard deck of 
52 cards. 
What is the probability of drawing a Face Card or drawing a heart?
Reduce Your Answer
Probability
Write Answer as a Fraction
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