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A package contains 11 resistors, 2of which are defective. If 4 are selected find the probability of getting the following results.P(1 defective)=

A package contains 11 resistors, 2of which are defective. If 4 are selected find the-example-1
User AnjumSKhan
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1 Answer

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From the given values, we know there are 2 defective resistors and 9 not defective. then, we have


P(1\text{ defective)=}(C^9_3* C^2_1)/(C^(11)_4)

where


C^9_3

denote the combinations of 9 elements taking in 3, that is 3 good resistor from the 9 which are not defective. Similarly,


C^2_1

denotes the combinations of 2 elements taking in 1, that is, 1 defective resistor form the 2 defective resistors.

Then, we have


P(1\text{ defective)=}(84*2)/(330)

then, the answer is


P(1\text{ defective) =}0.509

User NicolasR
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