if 100 tires are randomly slected for shipment to an outlet, what is the probablity that they are all good? The wheeling tire company produced 5000 tires that includes 200 that are defective.

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The probability of getting a defective tyre `= 200/5000`

                                                           `= 0.04`

Therefore, the probability of getting a good tyre `= 1 - 0.04`

                                                                     `= 0.96`

The probability of getting two good tyres `= 0.96 xx 0.96`

                                                           `= (0.96)^2`

The probability of getting three good tyres = 0.96...

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The probability of getting a defective tyre `= 200/5000`

                                                           `= 0.04`

Therefore, the probability of getting a good tyre `= 1 - 0.04`

                                                                     `= 0.96`

The probability of getting two good tyres `= 0.96 xx 0.96`

                                                           `= (0.96)^2`

The probability of getting three good tyres = 0.96 xx 0.96xx0.96

                                                           `= (0.96)^3`

 

In the same manner, probability of all 100 tyres are good

                                                          `= (0.96)^100`

                                                          `= 0.0169`

 

Therefore there is only a 0.0169 chance that all 100 tyres are good. I would say it is pretty bad company.

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