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Probability of one of the power plants over heating is 0.15 per day and the probability of failure of the backup cooling system is 0.11 .If these events are independent. What is the probability of ‘big trouble’ (i.e . . . both events taking place)

🗓 Mar 13, 2025

Answer is "0.0165"

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Vinayak Thote ~ Ramtek 🌐 India
The probability will be 0.0165



Step-by-step explanation:



Given



Probability of power plant over heating P( H ) = 0.15



Probability of failure of backup cooling system is P( C ) = 0.11



According to question,





These events are independent,



So



The probability of Big Problem will be that Backup cooling system fails as well as power plant over heating, that is,



P( H ) * P( C )



= ( 0.15 ) * ( 0.11 )



= 0.0165



Hence,



The probability will be 0.0165
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