In your coin purse, you have 3 quarters, 4 nickels, & 2 dimes. If you pick a coin at random, what is the probability that it will be a quarter?
Table of contents
- 0. Fundamental Concepts of Algebra3h 32m
- 1. Equations and Inequalities3h 27m
- 2. Graphs1h 43m
- 3. Functions & Graphs2h 17m
- 4. Polynomial Functions1h 54m
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- 7. Measuring Angles40m
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- 20. Sequences, Series & Induction1h 15m
- 21. Combinatorics and Probability1h 45m
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- 23. Intro to Derivatives & Area Under the Curve2h 9m
21. Combinatorics and Probability
Probability
Multiple Choice
For two mutually exclusive events A and B, compute P(A∪B) if P(A)=0.15 and P(B)=0.32
A
0.048
B
0.17
C
0.47
D
0.53
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Verified step by step guidance1
Understand that mutually exclusive events A and B cannot occur at the same time, meaning P(A ∩ B) = 0.
Recall the formula for the probability of the union of two events: P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
Since A and B are mutually exclusive, substitute P(A ∩ B) = 0 into the formula: P(A ∪ B) = P(A) + P(B).
Substitute the given probabilities into the formula: P(A ∪ B) = 0.15 + 0.32.
Add the probabilities to find P(A ∪ B).
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