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?

Question

misty1212 · Answer

HI!!

misty1212 · Answer

oh 'and" overheat i thought it said "or" lets see

misty1212 · Answer

$$P(A\cap B)=P(A)\times P(B|A)$$

misty1212 · Answer

if we put A =  work in the morning then $P(A)=0.5$

misty1212 · Answer

you are told that $$P(B|A)=0.15$$so we can multiply to find the answer