Question

Probability of one of the power plants over heating is 0.15 per day and the probability of failure of back cooling system is 0.11. If these events are independent, what is the probability of ‘big trouble' (i.E. Both events taking place)?

Answer 1

Hey,

Probability of power plant over heating is=0.15.
Probability of failure of backup cooling system is=0.11. 

Probability of Big Problem is=Backup cooling system fails as well as power plant over heating
=(0.15) *(0.11)
=0.0165 ANSWER

HOPE IT HELPS YOU:-))

Answer 2

Answer:

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