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Mathematics 10 Online
OpenStudy (yinshy):

Larry drew a blue marble from a bag and, without replacing it, drew a red marble from the same bag. Are these events dependent or independent? A. independent B. dependent

OpenStudy (yinshy):

A

OpenStudy (kropot72):

Is the probability of drawing a red marble on the second draw affected by the result of the first draw?

OpenStudy (anonymous):

Two events are said to be independent if the result of the second event is not affected by the result of the first event.

OpenStudy (yinshy):

so B?

OpenStudy (anonymous):

No

OpenStudy (kropot72):

The question relates to sampling without replacement. In this case, the probability of drawing a red marble on the second draw is affected by the result of the first draw.

OpenStudy (anonymous):

Because the marble s NOT replaced, the sample space of the second event is changed.

OpenStudy (anonymous):

This results on the vent being dependent.

OpenStudy (anonymous):

This results on the vent being dependent.

OpenStudy (anonymous):

However the extract of a blue marble on first draw implies that the proportion of blue to red marbles has changed. That implies the likelihood of getting red on the second draw is not quite the same as the likelihood of getting red on thefirst draw. Thusly the occasions are not independent but dependent.

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