Question

In 3,000 repetitions of an experiment, a random event occurred in 500 cases. The expected probability of this event is?

Answer 1

probability=number of specific outcomes/total possible outcomes

P=500/3000=1/6

Answer 2

The expected probability of a random event that is occurred =
`(1)/(6)`.

Explanation:

We are given that in an experiment 3,000 repetitions and a random event that occurred in 500 cases.

We have to find the expected probability of the event that is occurred in 500 cases.

We know that the probability of an event that is happened

`P(E)=(Number \;of\; favourable\; cases)/(Total\; number\; of cases)`

Number of favourable cases when a random event occurred=500

Total number of repetitions in an experiment =Total number of favourable cases=3000

By using the formula of probability

Therefore, the expected probability of a random event=
`(500)/(3000)`

The expected probability of a random event=
`(1)/(6)`

Hence, the expected probability of a random event that is occurred =
`(1)/(6)`