Concept explainers
For Exercises 1-5, choose the correct letter,
You spin a spinner that has 10 equal-sized sections numbered 1 to 10- Which compound event is most likely to occur?
- a 2 or a 3
- a 1 or a number greater than 8
- an odd number or a 7
- an even number or a 5
Find the event that is most likely to occur.
Answer to Problem 1STP
D
Explanation of Solution
Given:
You spin a spinner that has 10 equal-sized sections numbered 1 to 10.
Formula Used:
P(A or B) = P(A) + P(B) ; if A and B are mutually exclusive events.
P(A or B) =P(A) + P(B) − P(A and B) ; if A and B are not mutually exclusive events.
Calculation:
Total number of sections = 10
Number of favorable outcomes of 2 = 1
Number of favourable outcomes of 3 = 1
Total number of sections = 10
Number of favorable outcomes of 1 = 1
Number of favourable outcomes of greater than 8 = 2 ={9,10}
Total number of sections = 10
Number of favorable outcomes of odd number section = 5 = {1,3,5,7,9}
Number of favourable outcomes of 7 = 1
Number of favourable outcomes of 7 and odd number = 1 = {7}
Total number of sections = 10
Number of favorable outcomes of even number section = 5 = {2,4,6,8,10}
Number of favourable outcomes of 5 = 1
So, the correct option is D.
Chapter 12 Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
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