The probability that none of them will be returned is 0.729.
Probability:
Probability refer the possibility of the required event.
The probability of an event is a number between 0 and 1, where 0 indicates impossibility of the event and 1 indicates certainty.
Given,
Aram's fine gems allows a customer to return a diamond tennis bracelet if the return occurs within ten days.
Return percentage of the Bracelet = 10%
And, three (3) tennis bracelets are bought by three (3) different customers.
Now, we need to find the probability that none of them will be returned.
Let R be the event of bracelets sold that are returned.
And R' be the event of bracelet sold but not to be returned.
So,
P(R) = 10%
=> P(R) = 0.10
P(R') = (1 - P(R))
=> P(R') = (1 - 0.10)
=> P(R') = 0.90
Now we need to find the probability that none of them are retuned for 3 customers.
Which is equal to
=> 0.90 x 0.90 x 0.09
=> 0.729
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