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0.5USING
PROBABILITY FORMULAS
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Substitute in the information you have in to the appropriate formula.
Solve for the missing piece.
Use your algebra skills.
Working with Formulas
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Mutually ExclusiveP(A B) = P(A) + P(B)
IndependentP(A B) = P(A) P(B)
OverlappingP(A B) = P(A) + P(B) – P(A B)
DependentP(A B) = P(A) P(B|A)
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The probability of Sam getting an A on the Chemistry test is 0.76. The probability of him getting an A on his Calculus test and an A on his Chemistry test is 0.494. What is the probability of him getting an A on his Calculus test given that he got an A on his Chemistry test?
Example 1 – Dependent
P(A B) = P(A) P(B|A)
0.494 = 0.76 P(B|A) 0.65 = P(B|A)
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An optional camp to improve players’ basketball skills was held in the county. The probability of a kid attending was 0.62. The probability that they attended and made the honor roll was 0.44. What is the probability that they made the honor roll?
Example 2 – Independent
P(A B) = P(A) P(B)
0.44 = 0.62 P(B)
0.71 = P(B)
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P(A) = ¼P(B) = 5/8P(A B) = ¾
Find P(A B)
Example 3 – Overlapping (Inclusive)
P(A B) = P(A) + P(B) – P(A B)
1/8 = P(A B)
3 1 5P A B
4 4 8
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6 P
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Using Probability Formulas and
Working Backwards