Question

A bag contains 10 chips—1 red, 2 black, 3 green, and 4 purple. Event #1: drawing a black chip Event #2: drawing a purple chip Compare and contrast the probability of Event #1 and Event #2 if the events are independent and if the events are dependent. Which statement is true? (1 point) Responses The probabilities of cells A and B are the same, and the probability when the events are dependent is lower. The probabilities of cells A and B are the same, and the probability when the events are dependent is lower. The probabilities of cells A and B are the same, and the probability when the events are independent is lower. The probabilities of cells A and B are the same, and the probability when the events are independent is lower. The probabilities of cells C and D are the same, and the probability when the events are independent is lower. The probabilities of cells C and D are the same, and the probability when the events are independent is lower. The probabilities of cells C and D are the same, and the probability when the events are dependent is lower.

Answer 1

The probabilities of cells A and B are the same, and the probability when the events are independent is lower. This is true because when the events are independent, the probability of drawing a black chip and a purple chip remain the same regardless of the order they are drawn in. However, when the events are dependent, the probability of drawing a purple chip is lower because one purple chip has already been drawn, reducing the total number of purple chips in the bag.