Math Problem Statement
Determine if true or false: the events are independent. A coin is flipped and lands on heads, then a die is rolled on a six. An orange peg and then a blue peg are selected at random so long as 3 children are waiting in line. A blue coloring pen is selected at random, replaced in the box, and then a green coloring pen is selected. Two different students are selected at random to read a story to the class.
Solution
I see that you've uploaded an image containing some probability-related questions. Here’s a transcription of the questions based on what I see:
- Determine if true or false: the events are independent.
- A coin is flipped and lands on heads, then a die is rolled on a six.
- An orange peg and then a blue peg are selected at random so long as 3 children are waiting in line.
- A blue coloring pen is selected at random, replaced in the box, and then a green coloring pen is selected.
- Two different students are selected at random to read a story to the class.
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Math Problem Analysis
Mathematical Concepts
Probability
Independent Events
Formulas
P(A and B) = P(A) * P(B) for independent events
Theorems
Multiplication Rule for Independent Events
Suitable Grade Level
Grades 9-12
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