Help understand the difference?



One screenshot is from the Intro to Probability PrepSwift questions and the other is from the A&B (independent events) video later on. Are they not technically the same scenario just different pulls? (1st and 2nd vs 3rd and 10th). I had gotten the intro question right but now that I am down a few videos and see this, I am a bit confused. I had selected the same because in the intro video, the scenario was a red marble on 1st pull then a blue marble, thinking that’s what made the probability change. Still, now in the A&B video, it’s two red marbles without replacement. Can someone please help me understand the difference?

There is a key difference. In the first case, we are considering the probability of two red marbles being pulled out back to back, while in the second case, we’re considering the probability of a red marble pulled out in the second pull (irrespective of what colour we got the first time).

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