Mary has 11 pairs of earrings in a bag. Each pair is a different color and design, but they are not together as pairs; they
Mary has 11 pairs of earrings in a bag. Each pair is a different color and design, but they are not together as pairs; they are just in her bag. With her left hand, Mary reaches in and gets one earring.
a. While holding that one earring in her left hand, she reaches into the bag and gets another earring. What is the probability of her getting an earring that matches the earring in her left hand? ________ (carry to 4 decimal points)
b. Let's suppose that Mary did not match the earring in her left hand, so she discards the earring in her right hand. Still holding the initial earring in her left hand and without replacing the 1st drawn earring (sampling without replacement and putting it aside), she reaches back into the bag for another earring.
What is be the probability of Mary drawing an earring on the next draw (2nd pick) to match the initial earring she is still holding in her left hand? ________ (carry to 4 decimal points)
c. Again, Mary did not match the earring in her left hand, so she discards the earring in her right hand. Still holding the initial earring and without replacing the 2nd drawn earring (sampling without replacement and also putting it aside), Mary reaches back into the drawer for another earring. What is the probability of Mary drawing an earring on the next draw (3rd pick) to match the initial earring she is still holding in her left hand? ________(carry to 4 decimal points)
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