Study Guide and Intervention (continued) - MathnMind

14-3
Mutually Exclusive and Inclusive Events Events that cannot occur at the same
time are called mutually exclusive. If two events are not mutually exclusive, they are
called inclusive.
Probability of Mutually P(A or B) P(A) P(B) P(rolling a 2 or a 3 on a die) P (2) P (3)
Exclusive Events
Probability of P(A or B)
Inclusive Events P(A) P(B) P(A and B)
Example
P(King or Heart) P(K) P(H) P(K and H)
Suppose a card is drawn from a standard deck of 52 cards.
Find the probability of drawing a king or a queen.
Drawing a king or a queen are mutually exclusive events.
By the definition of mutually exclusive events, P(A or B) P(A) P(B).
4 1
4 1
P(A) P(king) P(B) P(queen)
52 13
52 13
1 1
P(king or queen)
13 13
2
13
2
The probability of drawing a king or a queen is . 13
Exercises
NAME ______________________________________________ DATE______________ PERIOD _____
Study Guide and Intervention (continued)
Probability of Compound Events
A bag contains 2 red, 5 blue, and 7 yellow marbles. Find each probability.
1. P(yellow or red) 2. P(red or not yellow) 3. P(blue or red or yellow)
One card is drawn from a standard deck of 52 cards. Find each probability.
4. P(jack or red) 5. P(red or black)
6. P( jack or clubs) 7. P(queen or less than 3)
8. P(5 or 6) 9. P(diamond or spade)
10. In a math class, 12 out of 15 girls are 14 years old and 14 out of 17 boys are 14 years old.
What is the probability of selecting a girl or a 14-year old from this class?
© Glencoe/McGraw-Hill 844 Glencoe Algebra 1
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