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Murljashka [212]

2 years ago

7

In a factory, the chance that a certain machine works without overheating in the morning is 50%. If it runs smoothly all morning

, then there is an 85% chance that it will continue for the rest of the day and a 15% chance that it will stop due to overheating. What is the probability that on a given day it will work in the morning and overheat later on? 4%

1 answer:

notsponge [240]2 years ago

8 0

It has to go through two steps,
first: works in the morning at 50%
second : overheats rest of the day at 15%
Probability that it will work in the morning and overheats rest of the day is the product of the two probabilities, namely
Probability=0.50*0.15=0.075, or 7.5%.

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