Answer: The events are dependent
The probability is 35/132
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Step-by-step explanation:
If the first bow Sara pulls out isn't put back, then the two events are dependent. This is because the probability of pulling a white bow changes depending on what Sara pulls out.
- If Sara pulls out a blue bow, then the teammate's chances of pulling a white bow are 7/11 because there are 7 white bows out of 4+7 = 11 left over (or you could compute 5+7-1 = 11).
- Or if Sara pulls out a white bow, then the chances of a teammate pulling out another white bow is 6/11 instead of 7/11. The probability has changed.
So again, it all depends on what Sara does because she goes first. This is of course not the case if Sara puts the bow back. If she put it back, then the chances of the teammate pulling the white bow is 7/12
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To find the overall probability of Sara selecting a blue bow and not putting it back, followed by a teammate getting a white bow, we multiply the fractions 5/12 and 7/11 to get (5/12)*(7/11) = 35/132
For more info, search out conditional probability.