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morpeh [17]
3 years ago
8

A batch of one hundred cars is inspected by testing four randomly selected cars. If one of the four is defective, the batch is r

ejected. What is the probability that the batch is accepted if it contains five defective cars?
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
3 0

Answer: The probability that the batch is accepted is 0.812.

Step-by-step explanation:

Since we have given that

Number of defective cars = 5

Total number of cars = 100

Probability of getting first car non defective = \dfrac{95}{100}

probability of getting second car non defective = \dfrac{94}{99}

Probability of getting third car non defective =  \dfrac{93}{98}

Probability of getting fourth car non defective = \dfrac{92}{97}

Using the multiplication rule, probability that the batch is accepted is given by

\dfrac{95}{100}\times \dfrac{94}{99}\times \dfrac{93}{98}\times \dfrac{92}{97}\\\\=0.812

Hence, the probability that the batch is accepted is 0.812.

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