The events are independent events.
- There are two events here the selection of the first ball And the selection of the 2nd ball.
- Now, independent events are events that have no effect on other events. So two events being independent means the outcome for one has no bearing on the outcome for the other and vice versa.
- So when we draw the first ball, All we have is 52 balls, each with a unique number on them, and one of them is randomly selected and then it's replaced back into the bin.
- So when we select the second ball, we have the exact same scenario. Again, it's just 52 balls with unique numbers on them and one is drawn from the bin. So for both the events the situation is identical.
- The outcomes may be different as this is a random event, but the probability distribution for what the outcome is identical for each event. So no matter what happens when we draw the first ball, that has no bearing on the outcome for the second ball, because we simply put the first ball back into the bin, and then we're presented with the same scenario again when we draw the second ball.
- So the key thing here is that the ball is replaced in the bin. If the ball was drawn for the first draw, but not replaced into the bin, That has an effect on the second event. Because for the second event now we only have 51 balls.
Therefore, the two events are independent events.
Learn more about independent events here:
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