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Akimi4 [234]
3 years ago
5

A sample of 4 different calculators is randomly selected from a group containing 14 that are defective and 34 that have no defec

ts. What is the probability that at least one of the 4 calculators in the sample is defective
Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

The answer is "0.7616".

Step-by-step explanation:

Using formula:

\text{P( at least one  de-fective) = 1 - P( all calculators work )}

                                          = 1-(\frac{34}{48}\times  \frac{33}{47}\times \frac{32}{46}\times \frac{31}{45})\\\\= 1-(\frac{34}{1}\times  \frac{11}{47}\times \frac{1}{23}\times \frac{31}{45})\\\\=1-(\frac{11594}{48647})\\\\=\frac{48647-11594}{48647}\\\\=\frac{37051}{48647}\approx 0.7616

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