1 fill in the blank 5 points\nhow many sides on a 6 - sided die are even? type your answer...\nhow many…
1 fill in the blank 5 points\nhow many sides on a 6 - sided die are even? type your answer...\nhow many sides on a 6 - sided die are divisible by 3? type your answer...\nhow many sides on a 6 - sided die are even and divisible by 3? type your answer...\naccording to the idea behind the union rule (and the three previous parts), how many sides on a 6 - sided die are even or divisible by 3? type your answer...\nwhich set represents the union of the even numbered rolls of a die with the rolls divisible by 3? choose your answer...
Answer
Explanation:
Step1: List even - numbered sides
The sides of a 6 - sided die are 1, 2, 3, 4, 5, 6. The even - numbered sides are 2, 4, 6. So there are 3 even - numbered sides.
Step2: List sides divisible by 3
The sides divisible by 3 on a 6 - sided die are 3, 6. So there are 2 sides divisible by 3.
Step3: Find sides that are even and divisible by 3
The number that is both even and divisible by 3 among 1 - 6 is 6. So there is 1 side that is even and divisible by 3.
Step4: Use the union rule
The union rule for two sets (A) and (B) is (n(A\cup B)=n(A)+n(B)-n(A\cap B)). Here, (n(A) = 3) (even - numbered sides), (n(B)=2) (sides divisible by 3), and (n(A\cap B) = 1). So (n(A\cup B)=3 + 2-1=4).
Step5: Determine the union set
The set of even - numbered rolls is ({2,4,6}), and the set of rolls divisible by 3 is ({3,6}). The union of these two sets is ({2,3,4,6}).
Answer:
3 2 1 4 {2,3,4,6}