Math Problem Statement
1.If two balanced die are rolled, the possible outcomes can be represented as follows.
(1, 1) (21) (3, 1) (4.1) (5,1) (61)
(1,2) (2, 2) (32) (4, 2) (5,2) (6.2)
(1.3) (2, 3) (3, 3) (4,3) (53) (63)
(1,4) (24) (4) (44)(54)64)
(1,5) (2,5) (3,5) (4,5) (5,5) (6.5)
(1, 6) (2,6) (36) (4,6) (5, 6) (6.6)
Determine the probability that the sum of the dice is 11. 2.A bag contains 4 red shirts, 6 blue shirts, and 8 black shirts. If a shirt is randomly selected from the bag, what is the probability that it is red?
- The following contingency table shows the number of customers who bought various brands of digital cameras at Walmart and Best Buy.
Camera Brand
Best Buy
Walmart
Total
Canon
24
9
30
54
Nikon
15
42
51
Sony
33
48
Fuji Film
6
12
18
Other
69
60
129
Total
123
177
300
What is the probability that a randomly selected customer from this sample bought a Sony camera or purchased the camera at Walmart? 4. The of Events A and B represents the number of instances in which either Event A or Event B or both occur together
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Counting Outcomes
Union of Events
Conditional Probability
Formulas
Probability = Favorable Outcomes / Total Outcomes
Union of Events: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Theorems
Addition Rule of Probability
Basic Counting Principle
Suitable Grade Level
Grades 9-12
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