There are three power plants [x, y, z] that at any given time each one either generates electricity or idles. event a is that plant x is always idles. event b is that at least two plants generate electricity. p(a∩b) is 15% and probability of complement of aub is 6%. all outcomes in event a are equally likely. compute the probability of the event b?

We're told that

where the last fact is due to the law of total probability:

so that and are complementary.

By definition of conditional probability, we have

We make use of the addition rule and complementary probabilities to rewrite this as

By the law of total probability,

and substituting this into gives

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.