plzzzz i really dont kno how to do thisIn 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?

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plzzzz i really dont kno how to do thisIn 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?

Mathematics
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HI!!
oh 'and" overheat i thought it said "or" lets see
\[P(A\cap B)=P(A)\times P(B|A)\]

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Other answers:

if we put A = work in the morning then \(P(A)=0.5\)
you are told that \[P(B|A)=0.15\]so we can multiply to find the answer

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