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  • The probability that a certain machine will break down in a day is 0.1 . What is the probability that it will not break down in 3 days?Option: 1 0.72

The probability that a certain machine will break down in a day is 0.1 . What is the probability that it will not break down in 3 days?

Option: 1

0.729


Option: 2

0.779


Option: 3

0.689


Option: 4

0.812


Answers (1)

best_answer

Given that the probability of the machine breaking down in a day is 0.1 , we have:
\mathrm{P}(\text { break })=0.1
Now, we can find the probability of the machine not breaking down in a day:
\mathrm{P(\text { not break })=1-P(\text { break }) }
\mathrm{ P(\text { not break })=1-0.1 }
\mathrm{ P(\text { not break })=0.9 }

The probability that it will not break down in 3 days is:
0.9 * 0.9 * 0.9=0.729
Therefore, the probability that the machine will not break down in 3 days is 0.729 .

Posted by

Divya Prakash Singh

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