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The probability that a car being filled with petrol will also need an oil change is 0.30; the probability that it needs a new oil filter is 0.40; and the probability that both the oil and filter - Mathematics

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प्रश्न

The probability that a car being filled with petrol will also need an oil change is 0.30; the probability that it needs a new oil filter is 0.40; and the probability that both the oil and filter need changing is 0.15. If a new oil filter is needed, what is the probability that the oil has to be changed?

बेरीज
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उत्तर

Let A be the event of changing oil, B be the event of changing oil filter.

Given P(A) = 0.30

P(B) = 0.4

P(A ∩ B) = 0.15

Probability of oil A changed when new oil filter B is changed is P(A/B) = `("P"("A" ∩ "B"))/("P"("B"))`

= `0.15/0.40`

= `15/40`

= `3/8`

= 0.375

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Introduction to probability theory - Exercise 12.3 [पृष्ठ २५९]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 12 Introduction to probability theory
Exercise 12.3 | Q 7. (ii) | पृष्ठ २५९

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