Question

In 3 billion repetitions of an experiment, a random event occurred in 500 million cases.

I know the probability of this event is 1/6 – what is the expected probability of the complement of the event?

Answer 1

5/6 is your other percentage

Answer 2

The expected probability of the complement of the event is:

`(5)/(6)`

Explanation:

We know that for any event A and the complement of the event i.e.
`A^c` the sum of the probabilities of both the events is equal to 1.

i.e. if P denote the probability of an event then we have:

`P(A)+P(A^c)=1`

Here we have the probability of event A as:

`P(A)=(1)/(6)`

Hence,

`(!)/(6)+P(A^c)=1\\\\\\i.e.\\\\\\P(A^c)=1-(1)/(6)\\\\\\i.e.\\\\\\P(A^c)=(6-1)/(6)\\\\\\i.e.\\\\\\\\P(A^c)=(5)/(6)`

Hence, the answer is:

`(5)/(6)`