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Answer:
The probability that both earrings are silver is 0.27.
Step-by-step explanation:
Basically, we have to pick in a such a way that the first earring is a silver earring and the second one is also a silver earring.
Constituents of the box= 7 silver, 6 gold.
Probability=
Therefore, probability of picking up a silver earring in the first attempt(A)=
As we have picked up, one earring from the bag, the no. of silver earrings have been decreased by 1 as have the total no. of earrings.
Therefore, the total no. of earrings now=12
No. of silver earrings in the bag now=6
Probability of picking up a silver in the second attempt after the above first attempt(B)=
P(A∩B)=P(A)*P(B)
= x
=
=0.269
The probability that both earrings are silver is 0.27.