SOLUTION: 3. A sample of 4 different calculators is randomly selected from a group containing 13 that are defective and 26 that have no defects. What is the probability that at least one of
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Question 1180651: 3. A sample of 4 different calculators is randomly selected from a group containing 13 that are defective and 26 that have no defects. What is the probability that at least one of the calculators is defective?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Find the probability none is defective
There are 39C4 ways to take the sample
For no defective ones, there are 26C4 possibilities
so the answer is 1-26C4/39C4
1-0.1818=0.8182
can check
prob of 1 is 13C1*26C3/39C4
=0.4109
-
for 2 it is 13C2*26C2/39C4
=0.3082
-
for 3 it is 13C3*26C1/39C4
=0.0904
-
for 4 it is 13C4/39C4
=0.0087
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