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.**