Question
Answer in 4 sentences in a 5th graders response
Consider 6 different-color marbles that are randomly selected. Create a scenario for event A and a scenario for event B, such
that P (A and B) = 1/30. State the result of event A, the result of event B, and explain if the two events are independent or
dependent. (4 points)
Consider 6 different-color marbles that are randomly selected. Create a scenario for event A and a scenario for event B, such
that P (A and B) = 1/30. State the result of event A, the result of event B, and explain if the two events are independent or
dependent. (4 points)
Answers
GPT-4o mini
Let's say we have 6 different-colored marbles: red, blue, green, yellow, orange, and purple. Event A could be picking a red marble, and event B could be picking a blue marble right after that. Because there are 6 marbles, there are 6 ways to pick the first marble and 5 ways to pick the second marble, making P(A and B) = 1/30. These events are dependent because the choice of the first marble affects the options for the second marble!