In a workshop, there are five machines and the probability of any one of them to be out of service on a day is $$14$$ . If the probability that at most two machines will be out of service on the same day is $$343k$$ then k is equal to:

Question

In a workshop, there are five machines and the probability of any one of them to be out of service on a day is $$14$$ . If the probability that at most two machines will be out of service on the same day is  $$343k$$ then k is equal to:

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Required probability $$=$$ when no. machine has fault $$+$$ when only one machine has fault $$+$$ when only two machines have fault.$$=5C0345+5C114344+5C2142343=2431024+4051024+2701024=9181024=459512=27$$×$$1764$$×$$8=343$$×$$k=343$$×$$178$$∴$$k=178$$

In a workshop, there are five machines and the probability of any one of them to be out of service on a day is $\frac{1}{4}$ . If the probability that at most two machines will be out of service on the same day is ${(\frac{3}{4})}^{3} k$ then k is equal to:

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In a workshop, there are five machines and the probability of any one of them to be out of service on a day is 14 . If the probability that at most two machines will be out of service on the same day is 343k then k is equal to:

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Ready to Test Your Skills?

free study material

In a workshop, there are five machines and the probability of any one of them to be out of service on a day is $\frac{1}{4}$ . If the probability that at most two machines will be out of service on the same day is ${(\frac{3}{4})}^{3} k$ then k is equal to: