Question

The probability that an event will happen is Upper P (Upper E )equalsStartFraction 13 Over 17 EndFraction . Find the probability that the event will not happen. The probability that the event will not happen is nothing.

Answer 1

The probability that the event will not happen is
`(4)/(17)`

Explanation:

The occurrence of an event can be divided into two parts, the event would occur or the event would not occur. But the probability of an event is 1.

From the given question;

The probability of the event = 1

The probability that the event will happen, P =
`(13)/(17)`

Thus,

The probability that the event will not happen = probability of the event - probability that the event will happen

= 1 - P

= 1 -
`(13)/(17)`

=
`(17 - 13)/(17)`

=
`(4)/(17)`

Thus, the probability that the event will not happen is
`(4)/(17)`.