If four tires are randomly selected for installation on a car, 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`

Therefore the probability of all four tyres can be good

                                 `= 0.96 xx 0.96 xx 0.96 xx 0.96`

                                 `= 0.8493`

Therefore, there is 0.8493 chance of all four tyres are good.

 

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